Asymptote C

Time bar (total: 7.3s)

analyze2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
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 15 to 9 computations (40% saved)

sample941.0ms (12.8%)

Memory
53.9MiB live, 1 462.9MiB allocated
Samples
253.0ms2 395×1valid
250.0ms1 577×2valid
212.0ms4 284×0valid
Precisions
Click to see histograms. Total time spent on operations: 523.0ms
ival-div: 208.0ms (39.7% of total)
ival-sub: 142.0ms (27.1% of total)
ival-add: 80.0ms (15.3% of total)
adjust: 78.0ms (14.9% of total)
exact: 6.0ms (1.1% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

preprocess85.0ms (1.2%)

Memory
-8.9MiB live, 67.1MiB allocated
Algorithm
2×egg-herbie
Rules
640×accelerator-lowering-fma.f32
640×accelerator-lowering-fma.f64
256×*-lowering-*.f32
256×*-lowering-*.f64
244×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01448
13244
27740
320039
449339
5106439
6147139
7168039
8176739
9177739
10177739
0713
11513
22313
33913
47213
511013
619613
736613
886913
9112913
10121213
11122213
0122213
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
Outputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
Call 2
Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1)))
(neg (- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1))))
Outputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(+ (/ (+ x 1) (- 1 x)) (/ x (+ x 1)))
(- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1)))
(+ (/ x (+ x -1)) (/ (+ x -1) (- -1 x)))
(neg (- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1))))
(+ (/ (+ x -1) (+ x 1)) (/ x (- 1 x)))

explain113.0ms (1.5%)

Memory
15.6MiB live, 177.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1210-0-(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(/.f64 x (+.f64 x #s(literal 1 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))cancellation1210
Confusion
Predicted +Predicted -
+1210
-0135
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12100
-00135
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0135
1121
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
19.0ms276×0valid
15.0ms144×1valid
15.0ms92×2valid
Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 15.0ms (47.3% of total)
ival-sub: 8.0ms (25.2% of total)
adjust: 4.0ms (12.6% of total)
ival-add: 4.0ms (12.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶56.5%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 7 computations (50% saved)

simplify43.0ms (0.6%)

Memory
-18.6MiB live, 60.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Rules
640×accelerator-lowering-fma.f32
640×accelerator-lowering-fma.f64
256×*-lowering-*.f32
256×*-lowering-*.f64
168×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
11533
22333
33933
47233
511033
619633
736633
886933
9112933
10121233
11122233
0122233
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(/ x (+ x 1))
x
(+ x 1)
1
(/ (+ x 1) (- x 1))
(- x 1)
Outputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/ x (+ x 1))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (+ x 1) (- x 1))
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(- x 1)
(+.f64 x #s(literal -1 binary64))

localize35.0ms (0.5%)

Memory
-4.3MiB live, 34.0MiB allocated
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 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
✓accuracy56.5%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Samples
9.0ms72×1valid
7.0ms138×0valid
7.0ms46×2valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 6.0ms (40.1% of total)
ival-sub: 5.0ms (33.4% of total)
adjust: 2.0ms (13.4% of total)
ival-add: 2.0ms (13.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))>
#<alt (/ x (+ x 1))>
#<alt (+ x 1)>
#<alt (/ (+ x 1) (- x 1))>
Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<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)))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* -2 x) 2)) 1)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))>
Calls

12 calls:

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

rewrite291.0ms (4%)

Memory
8.6MiB live, 367.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 288×/-lowering-/.f32
5 288×/-lowering-/.f64
4 896×*-lowering-*.f32
4 896×*-lowering-*.f64
4 620×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
16228
269928
0852328
Stop Event
1×iter limit
1×node limit
Counts
4 → 336
Calls
Call 1
Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(/ x (+ x 1))
(+ x 1)
(/ (+ x 1) (- x 1))
Outputs
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 (/.f64 (*.f64 (+.f64 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)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 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)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 x (+.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 x (+.f64 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 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #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 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #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 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.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 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))

simplify262.0ms (3.6%)

Memory
8.2MiB live, 325.0MiB allocated
Algorithm
1×egg-herbie
Rules
9 608×accelerator-lowering-fma.f32
9 608×accelerator-lowering-fma.f64
2 654×*-lowering-*.f32
2 654×*-lowering-*.f64
1 928×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095332
1262322
2585310
31504292
43719290
56658290
08041279
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
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)))
-1
(- (* -2 x) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
x
(* x (+ 1 (* -1 x)))
(-.f64 x (*.f64 x x))
(* x (+ 1 (* x (- x 1))))
(fma.f64 x (-.f64 (*.f64 x x) x) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+.f64 #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 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64))
(- (* x (- (* -2 x) 2)) 1)
(fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))

eval55.0ms (0.7%)

Memory
-9.5MiB live, 117.7MiB allocated
Compiler

Compiled 11 985 to 1 230 computations (89.7% saved)

prune53.0ms (0.7%)

Memory
0.2MiB live, 84.5MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4298437
Fresh000
Picked011
Done000
Total4299438
Accuracy
100.0%
Counts
438 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
▶55.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
▶53.5%
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
53.1%
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
47.5%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
48.1%
(/.f64 #s(literal -3 binary64) x)
✓56.5%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶53.2%
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
▶53.5%
#s(literal 1 binary64)
Compiler

Compiled 164 to 101 computations (38.4% saved)

simplify547.0ms (7.4%)

Memory
-23.3MiB live, 663.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓cost-diff128
(+.f64 (neg.f64 x) #s(literal 1 binary64))
✓cost-diff896
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
✓cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
✓cost-diff0
(fma.f64 x x #s(literal 1 binary64))
✓cost-diff0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
✓cost-diff0
(+.f64 #s(literal 3 binary64) x)
✓cost-diff0
(fma.f64 x (+.f64 #s(literal 3 binary64) 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-diff128
(+.f64 (neg.f64 x) #s(literal 1 binary64))
✓cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
Rules
26 268×accelerator-lowering-fma.f32
26 268×accelerator-lowering-fma.f64
4 538×*-lowering-*.f32
4 538×*-lowering-*.f64
2 882×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026141
163129
2139129
3371129
4991129
53182129
08310122
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (/ 1 (+ x 1)) x) (/ (+ x 1) (+ (neg x) 1)))
(/ 1 (+ x 1))
1
(+ x 1)
x
(/ (+ x 1) (+ (neg x) 1))
(+ (neg x) 1)
(neg x)
1
(+ (* x (+ 3 x)) 1)
x
(+ 3 x)
3
1
(* (+ (* 3 x) 1) (+ (* x x) 1))
(+ (* 3 x) 1)
3
x
1
(+ (* x x) 1)
(+ (* (/ 1 (+ (* x x) -1)) (/ x (/ 1 (+ x -1)))) (/ (+ x 1) (+ (neg x) 1)))
(/ 1 (+ (* x x) -1))
1
(+ (* x x) -1)
x
-1
(/ x (/ 1 (+ x -1)))
(/ 1 (+ x -1))
(+ x -1)
(/ (+ x 1) (+ (neg x) 1))
(+ x 1)
(+ (neg x) 1)
(neg x)
Outputs
(+ (* (/ 1 (+ x 1)) x) (/ (+ x 1) (+ (neg x) 1)))
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/ 1 (+ x 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
(/ (+ x 1) (+ (neg x) 1))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+ (neg x) 1)
(-.f64 #s(literal 1 binary64) x)
(neg x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ (* x (+ 3 x)) 1)
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
x
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
1
#s(literal 1 binary64)
(* (+ (* 3 x) 1) (+ (* x x) 1))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(+ (* 3 x) 1)
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
3
#s(literal 3 binary64)
x
1
#s(literal 1 binary64)
(+ (* x x) 1)
(fma.f64 x x #s(literal 1 binary64))
(+ (* (/ 1 (+ (* x x) -1)) (/ x (/ 1 (+ x -1)))) (/ (+ x 1) (+ (neg x) 1)))
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/ 1 (+ (* x x) -1))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ (* x x) -1)
(fma.f64 x x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(/ x (/ 1 (+ x -1)))
(fma.f64 x x (neg.f64 x))
(/ 1 (+ x -1))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
(/ (+ x 1) (+ (neg x) 1))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
(+ (neg x) 1)
(-.f64 #s(literal 1 binary64) x)
(neg x)
(neg.f64 x)

localize118.0ms (1.6%)

Memory
22.3MiB live, 215.0MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
✓accuracy99.9%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓accuracy56.1%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
✓accuracy100.0%
(fma.f64 x x #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
✓accuracy100.0%
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 3 binary64) x)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓accuracy56.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
Samples
25.0ms71×1valid
25.0ms138×0valid
22.0ms39×2valid
6.0ms6×3valid
2.0ms2×5exit
Compiler

Compiled 141 to 28 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-add: 19.0ms (34.8% of total)
ival-div: 14.0ms (25.7% of total)
ival-mult: 13.0ms (23.8% of total)
adjust: 6.0ms (11% of total)
ival-neg: 2.0ms (3.7% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (+ (* (/ 1 (+ x 1)) x) (/ (+ x 1) (+ (neg x) 1)))>
#<alt (+ (neg x) 1)>
#<alt (/ 1 (+ x 1))>
#<alt (+ x 1)>
#<alt (+ (* x (+ 3 x)) 1)>
#<alt (+ 3 x)>
#<alt (* (+ (* 3 x) 1) (+ (* x x) 1))>
#<alt (+ (* 3 x) 1)>
#<alt (+ (* x x) 1)>
#<alt (/ x (/ 1 (+ x -1)))>
#<alt (+ (* (/ 1 (+ (* x x) -1)) (/ x (/ 1 (+ x -1)))) (/ (+ x 1) (+ (neg x) 1)))>
#<alt (/ 1 (+ (* x x) -1))>
#<alt (/ (+ x 1) (+ (neg x) 1))>
#<alt (neg x)>
Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 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 (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 x)>
#<alt (+ 3 x)>
#<alt (+ 3 x)>
#<alt x>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (* 3 (pow x 3))>
#<alt (* (pow x 3) (+ 3 (/ 1 x)))>
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))>
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))>
#<alt (* 3 (pow x 3))>
#<alt (* (pow x 3) (+ 3 (/ 1 x)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<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 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)))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt -1>
#<alt (- (* -1 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt (* -1 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)>
Calls

42 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* (+ (* 3 x) 1) (+ (* x x) 1))
0.0ms
x
@-inf
(+ (* x (+ 3 x)) 1)
0.0ms
x
@inf
(/ 1 (+ (* x x) -1))
0.0ms
x
@inf
(+ (* x (+ 3 x)) 1)
0.0ms
x
@inf
(/ x (/ 1 (+ x -1)))

rewrite106.0ms (1.4%)

Memory
-26.2MiB live, 167.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 108×accelerator-lowering-fma.f32
1 108×accelerator-lowering-fma.f64
932×*-lowering-*.f32
932×*-lowering-*.f64
890×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02699
119689
0213083
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
14 → 382
Calls
Call 1
Inputs
(+ (* (/ 1 (+ x 1)) x) (/ (+ x 1) (+ (neg x) 1)))
(+ (neg x) 1)
(/ 1 (+ x 1))
(+ x 1)
(+ (* x (+ 3 x)) 1)
(+ 3 x)
(* (+ (* 3 x) 1) (+ (* x x) 1))
(+ (* 3 x) 1)
(+ (* x x) 1)
(/ x (/ 1 (+ x -1)))
(+ (* (/ 1 (+ (* x x) -1)) (/ x (/ 1 (+ x -1)))) (/ (+ x 1) (+ (neg x) 1)))
(/ 1 (+ (* x x) -1))
(/ (+ x 1) (+ (neg x) 1))
(neg x)
Outputs
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) 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 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.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 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
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(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) 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 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #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) (+.f64 x #s(literal -1 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.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) x)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)

simplify378.0ms (5.1%)

Memory
5.1MiB live, 568.2MiB allocated
Algorithm
1×egg-herbie
Rules
15 374×accelerator-lowering-fma.f32
15 374×accelerator-lowering-fma.f64
4 176×*-lowering-*.f32
4 176×*-lowering-*.f64
2 964×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01441031
1416982
21081953
33830935
08286880
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 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
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
3
(+ 3 x)
(+ 3 x)
(+ 3 x)
x
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
x
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
1
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
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 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)))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x))
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(* 3 (pow x 3))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 3 (/ 1 x)))
(*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(* 3 (pow x 3))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 3 (/ 1 x)))
(*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x))
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x x))
(- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)
(fma.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.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))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.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))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval110.0ms (1.5%)

Memory
1.2MiB live, 126.8MiB allocated
Compiler

Compiled 15 340 to 1 207 computations (92.1% saved)

prune65.0ms (0.9%)

Memory
29.1MiB live, 140.9MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New7304734
Fresh123
Picked235
Done011
Total73310743
Accuracy
100.0%
Counts
743 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
▶55.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓53.5%
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
▶53.5%
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))
▶53.1%
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
▶47.5%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
▶48.1%
(/.f64 #s(literal -3 binary64) x)
✓56.5%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓53.2%
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
✓53.5%
#s(literal 1 binary64)
Compiler

Compiled 153 to 92 computations (39.9% saved)

simplify79.0ms (1.1%)

Memory
-7.5MiB live, 39.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -1 binary64) x)
✓cost-diff0
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓cost-diff0
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓cost-diff0
(fma.f64 x x #s(literal 1 binary64))
✓cost-diff192
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))
✓cost-diff0
(/.f64 #s(literal -3 binary64) x)
✓cost-diff0
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
Rules
1 232×accelerator-lowering-fma.f32
1 232×accelerator-lowering-fma.f64
528×*-lowering-*.f32
528×*-lowering-*.f64
336×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02083
13679
25079
38879
411179
514079
620179
734679
858179
979179
10101679
11133179
12148779
13164879
14173979
15175079
0175076
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (/ 1 (+ x 1)) x) (/ (+ x 1) (- 1 x)))
(/ 1 (+ x 1))
1
(+ x 1)
x
(/ (+ x 1) (- 1 x))
(- 1 x)
(+ (* x 3) 1)
x
3
1
(/ -3 x)
-3
x
(+ (* x 3) (+ (* x x) 1))
x
3
(+ (* x x) 1)
1
(/ (+ -3 (/ -1 x)) x)
(+ -3 (/ -1 x))
-3
(/ -1 x)
-1
x
Outputs
(+ (* (/ 1 (+ x 1)) x) (/ (+ x 1) (- 1 x)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/ 1 (+ x 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
(/ (+ x 1) (- 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(+ (* x 3) 1)
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
x
3
#s(literal 3 binary64)
1
#s(literal 1 binary64)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
-3
#s(literal -3 binary64)
x
(+ (* x 3) (+ (* x x) 1))
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
x
3
#s(literal 3 binary64)
(+ (* x x) 1)
(fma.f64 x x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (+ -3 (/ -1 x)) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(+ -3 (/ -1 x))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x

localize90.0ms (1.2%)

Memory
-7.0MiB live, 148.4MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓accuracy99.9%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓accuracy100.0%
(fma.f64 x x #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal -3 binary64) x)
✓accuracy100.0%
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓accuracy56.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
Samples
22.0ms71×1valid
18.0ms138×0valid
16.0ms39×2valid
3.0ms6×3valid
1.0ms2×5exit
Compiler

Compiled 80 to 22 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 14.0ms (37.1% of total)
ival-add: 10.0ms (26.5% of total)
ival-mult: 6.0ms (15.9% of total)
adjust: 5.0ms (13.2% of total)
ival-sub: 2.0ms (5.3% of total)
exact: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#<alt (+ (* (/ 1 (+ x 1)) x) (/ (+ x 1) (- 1 x)))>
#<alt (/ 1 (+ x 1))>
#<alt (+ x 1)>
#<alt (/ (+ x 1) (- 1 x))>
#<alt (+ (* x 3) 1)>
#<alt (/ -3 x)>
#<alt (+ (* x 3) (+ (* x x) 1))>
#<alt (+ (* x x) 1)>
#<alt (/ (+ -3 (/ -1 x)) x)>
#<alt (+ -3 (/ -1 x))>
#<alt (/ -1 x)>
Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 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 (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -1 x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 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)>
Calls

33 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (+ -3 (/ -1 x)) x)
0.0ms
x
@inf
(/ (+ -3 (/ -1 x)) x)
0.0ms
x
@0
(/ -1 x)
0.0ms
x
@0
(/ (+ -3 (/ -1 x)) x)
0.0ms
x
@0
(/ -3 x)

rewrite312.0ms (4.3%)

Memory
2.6MiB live, 437.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 166×/-lowering-/.f32
5 166×/-lowering-/.f64
4 338×accelerator-lowering-fma.f32
4 338×accelerator-lowering-fma.f64
3 816×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02067
114063
2126163
0821960
Stop Event
1×iter limit
1×node limit
Counts
11 → 487
Calls
Call 1
Inputs
(+ (* (/ 1 (+ x 1)) x) (/ (+ x 1) (- 1 x)))
(/ 1 (+ x 1))
(+ x 1)
(/ (+ x 1) (- 1 x))
(+ (* x 3) 1)
(/ -3 x)
(+ (* x 3) (+ (* x x) 1))
(+ (* x x) 1)
(/ (+ -3 (/ -1 x)) x)
(+ -3 (/ -1 x))
(/ -1 x)
Outputs
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.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 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #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 #s(literal 1 binary64) x)) x (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) 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) (fma.f64 x x x)))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #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 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) x))))
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(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1 binary64))
(*.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x)))))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x)))) x))
(*.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) x))
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x))) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (neg.f64 x)))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1 binary64))))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))

simplify348.0ms (4.7%)

Memory
-29.3MiB live, 499.9MiB allocated
Algorithm
1×egg-herbie
Rules
12 776×accelerator-lowering-fma.f32
12 776×accelerator-lowering-fma.f64
3 416×*-lowering-*.f32
3 416×*-lowering-*.f64
1 840×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112739
1332688
2764672
32094666
45331666
08322627
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 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
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -1 x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 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)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -3 binary64) x) #s(literal -3 binary64)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -3 binary64) x) #s(literal -3 binary64)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.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)

eval81.0ms (1.1%)

Memory
-9.2MiB live, 145.9MiB allocated
Compiler

Compiled 13 982 to 1 580 computations (88.7% saved)

prune70.0ms (1%)

Memory
23.9MiB live, 138.2MiB allocated
Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New6694673
Fresh011
Picked055
Done044
Total66914683
Accuracy
100.0%
Counts
683 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓55.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
▶53.1%
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓53.5%
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
✓53.5%
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))
✓53.1%
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
▶24.8%
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
✓47.5%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
▶47.8%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
✓48.1%
(/.f64 #s(literal -3 binary64) x)
✓56.5%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓53.2%
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
▶47.2%
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
✓53.5%
#s(literal 1 binary64)
Compiler

Compiled 195 to 121 computations (37.9% saved)

simplify339.0ms (4.6%)

Memory
15.6MiB live, 536.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(fma.f64 x x #s(literal 1 binary64))
✓cost-diff0
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
✓cost-diff0
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) x)
✓cost-diff0
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
✓cost-diff0
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
✓cost-diff0
(*.f64 x #s(literal -1/3 binary64))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓cost-diff0
(fma.f64 x x #s(literal -1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓cost-diff896
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
Rules
13 902×accelerator-lowering-fma.f32
13 902×accelerator-lowering-fma.f64
3 388×--lowering--.f32
3 388×--lowering--.f64
2 160×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030156
172150
2175150
3438144
4971144
52523144
67724144
08281136
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (/ 1 (+ (* x x) -1)) (* x (+ x -1))) (/ (+ 1 x) (- 1 x)))
(/ 1 (+ (* x x) -1))
1
(+ (* x x) -1)
x
-1
(* x (+ x -1))
(+ x -1)
(/ (+ 1 x) (- 1 x))
(+ 1 x)
(- 1 x)
(/ 1 (* x -1/3))
1
(* x -1/3)
x
-1/3
(/ (+ (* x -3) -1) (* x x))
(+ (* x -3) -1)
x
-3
-1
(* x x)
(* (/ 1 x) (+ -3 (/ -1 x)))
(/ 1 x)
1
x
(+ -3 (/ -1 x))
-3
(/ -1 x)
-1
(+ (* (- (+ (* x x) 1) x) x) (/ (+ x 1) (- 1 x)))
(- (+ (* x x) 1) x)
(+ (* x x) 1)
x
1
(/ (+ x 1) (- 1 x))
(+ x 1)
(- 1 x)
Outputs
(+ (* (/ 1 (+ (* x x) -1)) (* x (+ x -1))) (/ (+ 1 x) (- 1 x)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/ 1 (+ (* x x) -1))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ (* x x) -1)
(fma.f64 x x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(* x (+ x -1))
(-.f64 (*.f64 x x) x)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
(/ (+ 1 x) (- 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) 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 -1/3))
(/.f64 #s(literal -3 binary64) x)
1
#s(literal 1 binary64)
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
x
-1/3
#s(literal -1/3 binary64)
(/ (+ (* x -3) -1) (* x x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(+ (* x -3) -1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
x
-3
#s(literal -3 binary64)
-1
#s(literal -1 binary64)
(* x x)
(*.f64 x x)
(* (/ 1 x) (+ -3 (/ -1 x)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ -3 (/ -1 x))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(+ (* (- (+ (* x x) 1) x) x) (/ (+ x 1) (- 1 x)))
(fma.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(- (+ (* x x) 1) x)
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+ (* x x) 1)
(fma.f64 x x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(/ (+ x 1) (- 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)

localize320.0ms (4.4%)

Memory
-3.5MiB live, 226.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓accuracy99.9%
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
✓accuracy100.0%
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy78.0%
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓accuracy56.1%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
Samples
67.0ms70×1valid
39.0ms40×2valid
33.0ms138×0valid
3.0ms4×3valid
2.0ms2×5exit
2.0ms2×4valid
Compiler

Compiled 148 to 32 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-add: 54.0ms (50.3% of total)
ival-div: 22.0ms (20.5% of total)
ival-mult: 16.0ms (14.9% of total)
adjust: 7.0ms (6.5% of total)
ival-sub: 4.0ms (3.7% of total)
const: 4.0ms (3.7% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (+ (* (/ 1 (+ (* x x) -1)) (* x (+ x -1))) (/ (+ 1 x) (- 1 x)))>
#<alt (/ 1 (+ (* x x) -1))>
#<alt (+ (* x x) -1)>
#<alt (* x (+ x -1))>
#<alt (/ 1 (* x -1/3))>
#<alt (* x -1/3)>
#<alt (/ (+ (* x -3) -1) (* x x))>
#<alt (+ (* x -3) -1)>
#<alt (* x x)>
#<alt (* (/ 1 x) (+ -3 (/ -1 x)))>
#<alt (/ 1 x)>
#<alt (+ -3 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (+ (* (- (+ (* x x) 1) x) x) (/ (+ x 1) (- 1 x)))>
#<alt (- (+ (* x x) 1) x)>
#<alt (+ (* x x) 1)>
#<alt (/ (+ x 1) (- 1 x))>
#<alt (/ (+ 1 x) (- 1 x))>
#<alt (+ x 1)>
Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt -1>
#<alt (- (* -1 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* -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)))>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt -1>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<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 (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) 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 (/ -1 x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 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 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (/ 1 x)))>
#<alt (* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (/ 1 x) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt 1>
#<alt (+ 1 (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 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 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

57 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* x -1/3)
0.0ms
x
@inf
(* x -1/3)
0.0ms
x
@0
(* x -1/3)
0.0ms
x
@inf
(/ (+ (* x -3) -1) (* x x))
0.0ms
x
@-inf
(/ (+ (* x -3) -1) (* x x))

rewrite344.0ms (4.7%)

Memory
-14.3MiB live, 628.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 684×/-lowering-/.f32
4 684×/-lowering-/.f64
4 680×*-lowering-*.f32
4 680×*-lowering-*.f64
3 456×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030129
1227123
22037123
08739113
Stop Event
1×iter limit
1×node limit
Counts
19 → 1 036
Calls
Call 1
Inputs
(+ (* (/ 1 (+ (* x x) -1)) (* x (+ x -1))) (/ (+ 1 x) (- 1 x)))
(/ 1 (+ (* x x) -1))
(+ (* x x) -1)
(* x (+ x -1))
(/ 1 (* x -1/3))
(* x -1/3)
(/ (+ (* x -3) -1) (* x x))
(+ (* x -3) -1)
(* x x)
(* (/ 1 x) (+ -3 (/ -1 x)))
(/ 1 x)
(+ -3 (/ -1 x))
(/ -1 x)
(+ (* (- (+ (* x x) 1) x) x) (/ (+ x 1) (- 1 x)))
(- (+ (* x x) 1) x)
(+ (* x x) 1)
(/ (+ x 1) (- 1 x))
(/ (+ 1 x) (- 1 x))
(+ x 1)
Outputs
(+.f64 (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (*.f64 x x) x) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.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 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 x x) x) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) x (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 (-.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (+.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 (-.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 (-.f64 (*.f64 x x) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (-.f64 (*.f64 x x) x) (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x x) x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 x x) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 x x) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
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(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))

simplify483.0ms (6.6%)

Memory
-11.6MiB live, 552.1MiB allocated
Algorithm
1×egg-herbie
Rules
15 436×accelerator-lowering-fma.f32
15 436×accelerator-lowering-fma.f64
3 626×*-lowering-*.f32
3 626×*-lowering-*.f64
1 906×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01401283
13801218
210111189
331081165
465071165
080731105
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (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))))
(* -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)))
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
-1
(- (* -3 x) 1)
(- (* -3 x) 1)
(- (* -3 x) 1)
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(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))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) 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)
(/ -1 x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 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)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 x)))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- x 1)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
1
(+ 1 (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 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 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)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x x))
(- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)
(fma.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.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)))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.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)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.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)))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.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)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x 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 -1 binary64) x)
(/ (- (* -3 x) 1) x)
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* -3 x) 1) x)
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* -3 x) 1) x)
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(-.f64 #s(literal -3 binary64) (/.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
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (- 1 (/ 1 x)))
(*.f64 x (-.f64 (*.f64 x x) x))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(fma.f64 x (-.f64 (*.f64 x x) x) x)
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(fma.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(*.f64 x (-.f64 (*.f64 x x) x))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))
(fma.f64 x (-.f64 (*.f64 x x) x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))
(fma.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+ 1 (* x (- x 1)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)

eval498.0ms (6.8%)

Memory
39.0MiB live, 221.5MiB allocated
Compiler

Compiled 37 103 to 3 136 computations (91.5% saved)

prune310.0ms (4.2%)

Memory
-45.9MiB live, 332.2MiB allocated
Pruning

15 alts after pruning (1 fresh and 14 done)

PrunedKeptTotal
New1 26311 264
Fresh000
Picked055
Done099
Total1 263151 278
Accuracy
100.0%
Counts
1 278 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓55.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓53.1%
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓53.5%
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
✓53.5%
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))
✓53.1%
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
✓24.8%
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
✓47.5%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
25.3%
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x))
✓47.8%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
✓48.1%
(/.f64 #s(literal -3 binary64) x)
✓56.5%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓53.2%
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
✓47.2%
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
✓53.5%
#s(literal 1 binary64)
Compiler

Compiled 311 to 139 computations (55.3% saved)

regimes11.0ms (0.2%)

Memory
27.7MiB live, 27.7MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x)
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
Outputs
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
Calls

2 calls:

6.0ms
x
5.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
100.0%3x
100.0%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 8 computations (50% saved)

regimes5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x)
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
Outputs
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
Calls

1 calls:

4.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.9%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 7 computations (50% saved)

regimes5.0ms (0.1%)

Memory
-25.3MiB live, 14.3MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x)
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Outputs
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Calls

1 calls:

4.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.9%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 7 computations (50% saved)

regimes4.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x)
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
Calls

1 calls:

4.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.6%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 7 computations (50% saved)

regimes4.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x)
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
Outputs
(/.f64 #s(literal -3 binary64) x)
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
Calls

1 calls:

3.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.1%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 7 computations (50% saved)

regimes3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x)
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
Outputs
(/.f64 #s(literal -3 binary64) x)
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
Calls

1 calls:

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

Compiled 14 to 7 computations (50% saved)

regimes6.0ms (0.1%)

Memory
-30.7MiB live, 11.9MiB allocated
Accuracy

Total -0.6b remaining (-2.1%)

Threshold costs -0.6b (-2.1%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
Outputs
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
2.0ms
x
Results
AccuracySegmentsBranch
53.5%1x
53.5%1(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 8 computations (50% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.6994812002124604e-8
0.009795913010347324
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.6994812002124604e-8
0.009795913010347324
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.6994812002124604e-8
0.009795913010347324
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.009795913010347324
0.9999999999993792
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.009795913010347324
0.9999999999993792
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.009795913010347324
0.9999999999993792
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify11.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Algorithm
1×egg-herbie
Rules
24×+-commutative_binary64
18×sub-neg_binary64
14×*-commutative_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040201
155201
268201
387201
498201
5101201
6102201
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
#s(literal 1 binary64)
Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #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))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness757.0ms (10.3%)

Memory
-20.7MiB live, 464.2MiB allocated
Rules
9 608×accelerator-lowering-fma.f32
9 608×accelerator-lowering-fma.f64
5 288×/-lowering-/.f32
5 288×/-lowering-/.f64
4 896×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02699
119689
0213083
0728
16228
269928
0852328
095332
1262322
2585310
31504292
43719290
56658290
08041279
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 319 to 111 computations (65.2% saved)

preprocess43.0ms (0.6%)

Memory
13.9MiB live, 131.7MiB allocated
Compiler

Compiled 432 to 90 computations (79.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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