Asymptote C

Time bar (total: 9.4s)

analyze2.0ms (0%)

Memory
2.0MiB live, 2.0MiB 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)

sample1.2s (12.4%)

Memory
-156.3MiB live, 1 196.5MiB allocated
Samples
483.0ms1 616×2valid
239.0ms2 402×1valid
216.0ms4 238×0valid
Precisions
Click to see histograms. Total time spent on operations: 743.0ms
ival-add: 323.0ms (43.5% of total)
ival-div: 198.0ms (26.7% of total)
ival-sub: 137.0ms (18.4% of total)
adjust: 67.0ms (9% of total)
exact: 7.0ms (0.9% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess112.0ms (1.2%)

Memory
10.6MiB live, 84.3MiB 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)))

explain112.0ms (1.2%)

Memory
11.5MiB live, 168.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1190-0-(-.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))))cancellation1190
Confusion
Predicted +Predicted -
+1190
-0137
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11900
-00137
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0137
1119
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
19.0ms104×2valid
15.0ms276×0valid
15.0ms132×1valid
Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 12.0ms (38.2% of total)
ival-sub: 10.0ms (31.8% of total)
adjust: 4.0ms (12.7% of total)
ival-add: 4.0ms (12.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.0%
(-.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)

simplify40.0ms (0.4%)

Memory
-0.6MiB live, 44.7MiB 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))

localize37.0ms (0.4%)

Memory
-8.1MiB live, 66.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
✓accuracy57.0%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Samples
8.0ms52×2valid
8.0ms66×1valid
8.0ms138×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 6.0ms (41.5% of total)
ival-sub: 4.0ms (27.7% of total)
adjust: 2.0ms (13.8% of total)
ival-add: 2.0ms (13.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))>
#<alt (/ x (+ x 1))>
#<alt (+ x 1)>
#<alt (/ (+ x 1) (- x 1))>
#<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 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)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
Calls

15 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
@inf
(+ x 1)
0.0ms
x
@0
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0ms
x
@-inf
(/ (+ x 1) (- x 1))

rewrite372.0ms (3.9%)

Memory
-1.1MiB live, 512.3MiB 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
0731
16231
269931
0852331
Stop Event
1×iter limit
1×node limit
Counts
5 → 386
Calls
Call 1
Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(/ x (+ x 1))
(+ 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 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.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 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.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 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 0 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 #s(literal 0 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 #s(literal 0 binary64) (+.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 #s(literal 0 binary64) (+.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 #s(literal 0 binary64) (+.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 #s(literal 0 binary64) (+.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 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (fma.f64 #s(literal -1 binary64) 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 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.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 #s(literal 0 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 0 binary64) (+.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 #s(literal 0 binary64) (+.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 #s(literal 0 binary64) (+.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))))
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(*.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))))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (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 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (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 x (*.f64 x x)) (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 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (fma.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 x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.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 (+.f64 x #s(literal -1 binary64)) (/.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 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 (+.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) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.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)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #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 (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)) (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)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))

simplify343.0ms (3.6%)

Memory
7.1MiB live, 491.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 526×accelerator-lowering-fma.f32
10 526×accelerator-lowering-fma.f64
3 246×*-lowering-*.f32
3 246×*-lowering-*.f64
2 030×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099362
1272352
2618340
31569322
44393320
08115309
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
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)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
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))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #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)
(fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 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 (/ (+ 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))
(fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* x (- x 1))))
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #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))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

eval61.0ms (0.7%)

Memory
-8.1MiB live, 101.3MiB allocated
Compiler

Compiled 13 675 to 1 433 computations (89.5% saved)

prune60.0ms (0.6%)

Memory
15.1MiB live, 139.1MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4909499
Fresh000
Picked011
Done000
Total49010500
Accuracy
100.0%
Counts
500 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.9%
(fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
▶53.6%
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
▶53.8%
(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))
▶55.4%
(/.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
▶47.7%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
46.8%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
47.5%
(/.f64 #s(literal -3 binary64) x)
✓57.0%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶53.2%
#s(literal 1 binary64)
Compiler

Compiled 186 to 119 computations (36% saved)

simplify343.0ms (3.6%)

Memory
9.4MiB live, 453.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
✓cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
✓cost-diff0
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
✓cost-diff0
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
✓cost-diff0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #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 (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
✓cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓cost-diff768
(-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
Rules
13 566×accelerator-lowering-fma.f32
13 566×accelerator-lowering-fma.f64
3 380×+-lowering-+.f64
3 380×+-lowering-+.f32
2 410×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027140
177140
2193132
3537132
41839126
08638115
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* x (+ x -1)) (* (+ x 1) (+ x 1))) (+ (* x x) -1))
(- (* x (+ x -1)) (* (+ x 1) (+ x 1)))
(* x (+ x -1))
x
(+ x -1)
-1
(* (+ x 1) (+ x 1))
(+ x 1)
1
(+ (* x x) -1)
1
(+ (* x (+ 3 x)) 1)
x
(+ 3 x)
3
1
(+ (* x (+ (* x (+ (* 3 x) 1)) 3)) 1)
x
(+ (* x (+ (* 3 x) 1)) 3)
(+ (* 3 x) 1)
3
1
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)
(+ -3 (/ (+ -1 (/ -3 x)) x))
-3
(/ (+ -1 (/ -3 x)) x)
(+ -1 (/ -3 x))
-1
(/ -3 x)
x
Outputs
(/ (- (* x (+ x -1)) (* (+ x 1) (+ x 1))) (+ (* x x) -1))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 2 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(- (* x (+ x -1)) (* (+ x 1) (+ x 1)))
(-.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 2 binary64) x))
(* x (+ x -1))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
x
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (+ x 1) (+ x 1))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (* x x) -1)
(fma.f64 x x #s(literal -1 binary64))
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)
(+ (* x (+ (* x (+ (* 3 x) 1)) 3)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
x
(+ (* x (+ (* 3 x) 1)) 3)
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))
(+ (* 3 x) 1)
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
3
#s(literal 3 binary64)
1
#s(literal 1 binary64)
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(+ -3 (/ (+ -1 (/ -3 x)) x))
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
-3
#s(literal -3 binary64)
(/ (+ -1 (/ -3 x)) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
(+ -1 (/ -3 x))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
-1
#s(literal -1 binary64)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
x

localize116.0ms (1.2%)

Memory
-11.1MiB live, 181.0MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
✓accuracy100.0%
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
✓accuracy99.9%
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
✓accuracy100.0%
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 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%
(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓accuracy75.4%
(/.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
✓accuracy58.5%
(-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
Samples
37.0ms99×1valid
29.0ms139×0valid
6.0ms12×2valid
5.0ms6×5exit
Compiler

Compiled 133 to 29 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 17.0ms (30.6% of total)
ival-add: 17.0ms (30.6% of total)
ival-div: 12.0ms (21.6% of total)
adjust: 6.0ms (10.8% of total)
ival-sub: 2.0ms (3.6% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (- (* x (+ x -1)) (* (+ x 1) (+ x 1)))>
#<alt (* (+ x 1) (+ x 1))>
#<alt (/ (- (* x (+ x -1)) (* (+ x 1) (+ x 1))) (+ (* x x) -1))>
#<alt (+ x -1)>
#<alt (+ (* x (+ 3 x)) 1)>
#<alt (+ 3 x)>
#<alt (+ (* x (+ (* x (+ (* 3 x) 1)) 3)) 1)>
#<alt (+ (* x (+ (* 3 x) 1)) 3)>
#<alt (+ (* 3 x) 1)>
#<alt (/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)>
#<alt (+ -3 (/ (+ -1 (/ -3 x)) x))>
#<alt (/ (+ -1 (/ -3 x)) x)>
#<alt (+ -1 (/ -3 x))>
#<alt (* x (+ x -1))>
Outputs
#<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 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<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 (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 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 3>
#<alt (+ 3 x)>
#<alt (+ 3 (* x (+ 1 (* 3 x))))>
#<alt (+ 3 (* x (+ 1 (* 3 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (/ 1 x)))>
#<alt (* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))>
#<alt (* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (/ 1 x)))>
#<alt (* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))>
#<alt (* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))>
#<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 (pow x 3))>
#<alt (/ (- (* -1 x) 3) (pow x 3))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (/ -3 (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (/ -3 (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (/ -3 x)>
#<alt (/ (- (* -1 x) 3) x)>
#<alt (/ (- (* -1 x) 3) x)>
#<alt (/ (- (* -1 x) 3) x)>
#<alt -1>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
Calls

42 calls:

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

rewrite470.0ms (5%)

Memory
-14.5MiB live, 671.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 512×/-lowering-/.f32
5 512×/-lowering-/.f64
5 376×accelerator-lowering-fma.f32
5 376×accelerator-lowering-fma.f64
4 676×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027110
1217110
22056110
09680102
Stop Event
1×iter limit
1×node limit
Counts
14 → 807
Calls
Call 1
Inputs
(- (* x (+ x -1)) (* (+ x 1) (+ x 1)))
(* (+ x 1) (+ x 1))
(/ (- (* x (+ x -1)) (* (+ x 1) (+ x 1))) (+ (* x x) -1))
(+ x -1)
(+ (* x (+ 3 x)) 1)
(+ 3 x)
(+ (* x (+ (* x (+ (* 3 x) 1)) 3)) 1)
(+ (* x (+ (* 3 x) 1)) 3)
(+ (* 3 x) 1)
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)
(+ -3 (/ (+ -1 (/ -3 x)) x))
(/ (+ -1 (/ -3 x)) x)
(+ -1 (/ -3 x))
(* x (+ x -1))
Outputs
(+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.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 #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (/.f64 (*.f64 (*.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))))) (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.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)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(-.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 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 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(fma.f64 x x (+.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(fma.f64 x x (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.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 #s(literal 1 binary64) (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) x)
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.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 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.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 x #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 (fma.f64 x x #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))))

simplify537.0ms (5.7%)

Memory
-12.6MiB live, 659.5MiB allocated
Algorithm
1×egg-herbie
Rules
15 328×accelerator-lowering-fma.f32
15 328×accelerator-lowering-fma.f64
3 960×*-lowering-*.f32
3 960×*-lowering-*.f64
1 916×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041019
1326960
2912931
33917919
08227853
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
-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))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
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
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
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)))
3
(+ 3 x)
(+ 3 (* x (+ 1 (* 3 x))))
(+ 3 (* x (+ 1 (* 3 x))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (/ 1 x)))
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (/ 1 x)))
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
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 (pow x 3))
(/ (- (* -1 x) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/ -3 (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(/ -3 (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ -1 x)
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/ -1 x)
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/ -3 x)
(/ (- (* -1 x) 3) x)
(/ (- (* -1 x) 3) x)
(/ (- (* -1 x) 3) x)
-1
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 (+ 1 (* 3 (/ 1 x))))
-1
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
Outputs
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 #s(literal -3 binary64) 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 x)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(fma.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(fma.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(* 3 (pow x 3))
(*.f64 x (*.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* (pow x 3) (+ 3 (/ 1 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(* 3 (pow x 3))
(*.f64 x (*.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* (pow x 3) (+ 3 (/ 1 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
(+ 3 (* x (+ 1 (* 3 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))
(+ 3 (* x (+ 1 (* 3 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 3 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 3 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(/ -3 (pow x 3))
(/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ (- (* -1 x) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/ -3 (pow x 2))
(/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
(/ -3 (pow x 2))
(/.f64 #s(literal -3 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ (- (* -1 x) 3) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(/ (- (* -1 x) 3) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(/ (- (* -1 x) 3) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- x 1))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* x (- x 1))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* x (- x 1))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) x))

eval128.0ms (1.4%)

Memory
1.2MiB live, 245.0MiB allocated
Compiler

Compiled 31 734 to 3 133 computations (90.1% saved)

prune113.0ms (1.2%)

Memory
17.4MiB live, 217.0MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New9705975
Fresh224
Picked235
Done101
Total97510985
Accuracy
100.0%
Counts
985 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.6%
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
✓53.8%
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
▶53.8%
(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))
16.1%
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
▶75.4%
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
46.8%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
▶23.4%
(/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
▶47.5%
(/.f64 #s(literal -3 binary64) x)
✓53.2%
#s(literal 1 binary64)
Compiler

Compiled 138 to 91 computations (34.1% saved)

simplify274.0ms (2.9%)

Memory
-25.7MiB live, 417.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 #s(literal -3 binary64) x)
✓cost-diff0
(fma.f64 x x #s(literal -1 binary64))
✓cost-diff0
(/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
✓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
(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)))
Rules
9 326×accelerator-lowering-fma.f32
9 326×accelerator-lowering-fma.f64
2 326×*-lowering-*.f32
2 326×*-lowering-*.f64
2 036×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01674
13272
25772
39672
412972
522172
645072
783372
8284872
9482972
0820663
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* -3 x) -1) (+ (* x x) -1))
(+ (* -3 x) -1)
-3
x
-1
(+ (* x x) -1)
(+ (* x 3) 1)
x
3
1
(/ -3 x)
-3
x
(+ (* x 3) (+ (* x x) 1))
x
3
(+ (* x x) 1)
1
(/ (* -3 x) (+ (* x x) -1))
(* -3 x)
-3
x
(+ (* x x) -1)
-1
Outputs
(/ (+ (* -3 x) -1) (+ (* x x) -1))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(+ (* -3 x) -1)
(fma.f64 #s(literal -3 binary64) x #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))
(+ (* 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 x) (+ (* x x) -1))
(fma.f64 #s(literal -3 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 0 binary64))
(* -3 x)
(fma.f64 #s(literal -3 binary64) x #s(literal 0 binary64))
-3
#s(literal -3 binary64)
x
(+ (* x x) -1)
(fma.f64 x x #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize61.0ms (0.6%)

Memory
5.8MiB live, 83.5MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 #s(literal -3 binary64) x)
✓accuracy75.2%
(/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
✓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%
(fma.f64 x x #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
✓accuracy75.4%
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Samples
23.0ms215×0valid
6.0ms20×2valid
3.0ms8×3valid
3.0ms13×1valid
Compiler

Compiled 66 to 18 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 7.0ms (31.9% of total)
ival-add: 7.0ms (31.9% of total)
ival-mult: 6.0ms (27.4% of total)
adjust: 2.0ms (9.1% of total)
exact: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#<alt (/ (+ (* -3 x) -1) (+ (* x x) -1))>
#<alt (+ (* -3 x) -1)>
#<alt (+ (* x x) -1)>
#<alt (+ (* x 3) 1)>
#<alt (/ -3 x)>
#<alt (+ (* x 3) (+ (* x x) 1))>
#<alt (+ (* x x) 1)>
#<alt (/ (* -3 x) (+ (* x x) -1))>
#<alt (* -3 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 (- (* -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 -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>
#<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 (* 3 x)>
#<alt (* x (+ 3 (* 3 (pow x 2))))>
#<alt (* x (+ 3 (* (pow x 2) (+ 3 (* 3 (pow x 2))))))>
#<alt (* x (+ 3 (* (pow x 2) (+ 3 (* (pow x 2) (+ 3 (* 3 (pow x 2))))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (* 3 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 (pow x 2)))) (pow x 2))) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 (pow x 2)))) (pow x 4))) (+ 3 (* 3 (/ 1 (pow x 2))))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (* 3 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (+ (* 3 (/ 1 (pow x 2))) (/ 3 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 3 (+ (* 3 (/ 1 (pow x 2))) (+ (* 3 (/ 1 (pow x 6))) (/ 3 (pow x 4))))) 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)>
Calls

27 calls:

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

rewrite488.0ms (5.2%)

Memory
20.9MiB live, 813.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
12 624×accelerator-lowering-fma.f32
12 624×accelerator-lowering-fma.f64
4 938×*-lowering-*.f32
4 938×*-lowering-*.f64
4 392×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01655
110453
290553
0866745
Stop Event
1×iter limit
1×node limit
Counts
9 → 933
Calls
Call 1
Inputs
(/ (+ (* -3 x) -1) (+ (* x x) -1))
(+ (* -3 x) -1)
(+ (* x x) -1)
(+ (* x 3) 1)
(/ -3 x)
(+ (* x 3) (+ (* x x) 1))
(+ (* x x) 1)
(/ (* -3 x) (+ (* x x) -1))
(* -3 x)
Outputs
(+.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
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(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #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) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) 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 -3 binary64) (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (/.f64 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) (/.f64 #s(literal -3 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -3 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -3 binary64)) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) #s(literal -3 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 3 binary64)))
(neg.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) x)
(*.f64 #s(literal -3 binary64) (neg.f64 (*.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 x #s(literal -3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))

simplify806.0ms (8.5%)

Memory
-7.4MiB live, 598.4MiB allocated
Algorithm
1×egg-herbie
Rules
16 574×accelerator-lowering-fma.f32
16 574×accelerator-lowering-fma.f64
4 312×*-lowering-*.f32
4 312×*-lowering-*.f64
1 948×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094610
1281606
2728575
32011566
45226566
08267518
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
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
(- (* -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))))
-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
(+ 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))))
(* 3 x)
(* x (+ 3 (* 3 (pow x 2))))
(* x (+ 3 (* (pow x 2) (+ 3 (* 3 (pow x 2))))))
(* x (+ 3 (* (pow x 2) (+ 3 (* (pow x 2) (+ 3 (* 3 (pow x 2))))))))
(/ -3 x)
(* -1 (/ (+ 3 (* 3 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 3 (* 3 (/ 1 (pow x 2)))) (pow x 2))) 3) x)
(/ (- (* -1 (/ (+ 3 (* 3 (/ 1 (pow x 2)))) (pow x 4))) (+ 3 (* 3 (/ 1 (pow x 2))))) x)
(/ -3 x)
(* -1 (/ (+ 3 (* 3 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 3 (+ (* 3 (/ 1 (pow x 2))) (/ 3 (pow x 4)))) x))
(* -1 (/ (+ 3 (+ (* 3 (/ 1 (pow x 2))) (+ (* 3 (/ 1 (pow x 6))) (/ 3 (pow x 4))))) 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)
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))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #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 (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)
(fma.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))) #s(literal 0 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 (/ (+ 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))
(fma.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))) #s(literal 0 binary64))
-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))
-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
#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))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 3 (pow x 2))))
(*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))
(* x (+ 3 (* (pow x 2) (+ 3 (* 3 (pow x 2))))))
(*.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(* x (+ 3 (* (pow x 2) (+ 3 (* (pow x 2) (+ 3 (* 3 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (* 3 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 3 (* 3 (/ 1 (pow x 2)))) (pow x 2))) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 3 (* 3 (/ 1 (pow x 2)))) (pow x 4))) (+ 3 (* 3 (/ 1 (pow x 2))))) x)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (* 3 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 3 (+ (* 3 (/ 1 (pow x 2))) (/ 3 (pow x 4)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x x))) x)
(* -1 (/ (+ 3 (+ (* 3 (/ 1 (pow x 2))) (+ (* 3 (/ 1 (pow x 6))) (/ 3 (pow x 4))))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) x)
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))

eval394.0ms (4.2%)

Memory
2.0MiB live, 269.4MiB allocated
Compiler

Compiled 23 987 to 2 094 computations (91.3% saved)

prune169.0ms (1.8%)

Memory
-21.4MiB live, 350.9MiB allocated
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New1 14041 144
Fresh112
Picked145
Done033
Total1 142121 154
Accuracy
100.0%
Counts
1 154 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.6%
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
✓53.8%
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
✓53.8%
(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))
✓75.4%
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶22.2%
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x))
▶46.8%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
▶22.8%
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x))
✓47.5%
(/.f64 #s(literal -3 binary64) x)
▶75.3%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
▶47.2%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
✓53.2%
#s(literal 1 binary64)
Compiler

Compiled 133 to 91 computations (31.6% saved)

simplify245.0ms (2.6%)

Memory
34.5MiB live, 514.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 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-diff128
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓cost-diff-64
(*.f64 x x)
✓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)) (*.f64 x x))
✓cost-diff-64
(*.f64 x x)
✓cost-diff-64
(*.f64 #s(literal -3 binary64) x)
✓cost-diff768
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 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-diff0
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
✓cost-diff320
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
Rules
6 972×accelerator-lowering-fma.f32
6 972×accelerator-lowering-fma.f64
2 904×*-lowering-*.f32
2 904×*-lowering-*.f64
1 672×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02094
14594
27793
316492
429192
583788
6233988
7348788
8769588
0818882
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (* x 3) 1) (/ -1 (+ (* x x) -1)))
(+ (* x 3) 1)
x
3
1
(/ -1 (+ (* x x) -1))
-1
(+ (* x x) -1)
(* (/ 1 x) -3)
(/ 1 x)
1
x
-3
(/ (* -3 x) (* x x))
(* -3 x)
-3
x
(* x x)
(/ (+ (* -3 x) -1) (* x x))
(+ (* -3 x) -1)
-3
x
-1
(* x x)
(/ (+ -3 (/ -1 x)) x)
(+ -3 (/ -1 x))
-3
(/ -1 x)
-1
x
Outputs
(* (+ (* x 3) 1) (/ -1 (+ (* x x) -1)))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(+ (* 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)
(/ -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))
(* (/ 1 x) -3)
(/.f64 #s(literal -3 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
-3
#s(literal -3 binary64)
(/ (* -3 x) (* x x))
(/.f64 #s(literal -3 binary64) x)
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
-3
#s(literal -3 binary64)
x
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(/ (+ (* -3 x) -1) (* x x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 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)
(fma.f64 x x #s(literal 0 binary64))
(/ (+ -3 (/ -1 x)) x)
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ -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

localize68.0ms (0.7%)

Memory
-32.0MiB live, 165.7MiB allocated
Localize:

Found 15 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 #s(literal -3 binary64) x #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy75.3%
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal -3 binary64) x)
✓accuracy52.8%
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
✓accuracy99.4%
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓accuracy76.2%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
Samples
35.0ms238×0valid
5.0ms12×2valid
2.0ms6×1valid
Compiler

Compiled 93 to 22 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 11.0ms (41% of total)
ival-mult: 8.0ms (29.8% of total)
ival-add: 6.0ms (22.4% of total)
adjust: 1.0ms (3.7% of total)
exact: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (* (+ (* x 3) 1) (/ -1 (+ (* x x) -1)))>
#<alt (+ (* x 3) 1)>
#<alt (/ -1 (+ (* x x) -1))>
#<alt (+ (* x x) -1)>
#<alt (* (/ 1 x) -3)>
#<alt (/ 1 x)>
#<alt (/ (* -3 x) (* x x))>
#<alt (* -3 x)>
#<alt (* x x)>
#<alt (/ (+ (* -3 x) -1) (* x x))>
#<alt (+ (* -3 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 (* 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) (+ 1 (pow x 2))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))>
#<alt (/ -1 (pow x 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<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 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)>
#<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 (* -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 (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>
#<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 (/ -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

42 calls:

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

rewrite403.0ms (4.3%)

Memory
15.5MiB live, 536.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 162×accelerator-lowering-fma.f32
5 162×accelerator-lowering-fma.f64
5 030×*-lowering-*.f32
5 030×*-lowering-*.f64
4 456×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02076
113075
2102470
0865164
Stop Event
1×iter limit
1×node limit
Counts
14 → 1 459
Calls
Call 1
Inputs
(* (+ (* x 3) 1) (/ -1 (+ (* x x) -1)))
(+ (* x 3) 1)
(/ -1 (+ (* x x) -1))
(+ (* x x) -1)
(* (/ 1 x) -3)
(/ 1 x)
(/ (* -3 x) (* x x))
(* -3 x)
(* x x)
(/ (+ (* -3 x) -1) (* x x))
(+ (* -3 x) -1)
(/ (+ -3 (/ -1 x)) x)
(+ -3 (/ -1 x))
(/ -1 x)
Outputs
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal 3 binary64) (/.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))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (/.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))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (/.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))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -3 binary64)) (/.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))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.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))))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (/.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))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -3 binary64) (/.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))))
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(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 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)) x))) #s(literal 1 binary64)))
(*.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))))
(*.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (*.f64 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 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -9 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) 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))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x))) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.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 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 729 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))))) (+.f64 #s(literal 81 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) #s(literal 9 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))) (-.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)))
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.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))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))

simplify484.0ms (5.1%)

Memory
-2.1MiB live, 420.5MiB allocated
Algorithm
1×egg-herbie
Rules
11 552×accelerator-lowering-fma.f32
11 552×accelerator-lowering-fma.f64
3 176×*-lowering-*.f32
3 176×*-lowering-*.f64
1 730×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071866
1200812
2527804
31574796
44762796
08277758
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 (* 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))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ -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 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)
(/ -3 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)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 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
(- (* -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))))
(/ -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))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #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)
(fma.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))) #s(literal 0 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 (/ (+ 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))
(fma.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))) #s(literal 0 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) (+ 1 (pow x 2))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 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 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 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 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(/ -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 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)
(/.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)
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 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
#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))
(/ -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)

eval278.0ms (2.9%)

Memory
39.6MiB live, 309.5MiB allocated
Compiler

Compiled 30 846 to 2 702 computations (91.2% saved)

prune305.0ms (3.2%)

Memory
-24.2MiB live, 291.3MiB allocated
Pruning

13 alts after pruning (1 fresh and 12 done)

PrunedKeptTotal
New1 65711 658
Fresh000
Picked055
Done077
Total1 657131 670
Accuracy
100.0%
Counts
1 670 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.6%
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
✓53.8%
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
✓53.8%
(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))
✓75.4%
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓22.2%
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x))
✓46.8%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓22.8%
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x))
✓47.5%
(/.f64 #s(literal -3 binary64) x)
53.6%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
✓75.3%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
✓47.2%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
✓53.2%
#s(literal 1 binary64)
Compiler

Compiled 273 to 121 computations (55.7% saved)

regimes12.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
20 → 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 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x 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 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
Outputs
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
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
7.0MiB live, 7.0MiB allocated
Counts
17 → 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 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x 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 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
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
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 14 to 7 computations (50% saved)

regimes4.0ms (0%)

Memory
5.9MiB live, 5.9MiB 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 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
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
99.9%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)

regimes28.0ms (0.3%)

Memory
-32.5MiB live, 6.9MiB allocated
Counts
12 → 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 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x))
Outputs
(/.f64 #s(literal -3 binary64) x)
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
Calls

1 calls:

27.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.8%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
5.1MiB live, 5.1MiB allocated
Counts
8 → 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 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal -3 binary64) x)
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x 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
98.8%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
4.8MiB live, 4.8MiB 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 (/.f64 #s(literal 1 binary64) x) #s(literal -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
98.6%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
10.2MiB live, 10.2MiB allocated
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
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
Calls

2 calls:

2.0ms
x
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
53.8%1x
53.8%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)

regimes3.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated
Accuracy

Total -0.7b remaining (-2.3%)

Threshold costs -0.7b (-2.3%)

Counts
3 → 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))
Outputs
#s(literal 1 binary64)
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
53.2%1(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
53.2%1x
Compiler

Compiled 16 to 8 computations (50% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.3948534195491504e-8
5.436299107286491e-5
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.4841907964610073e-13
4.378459816933855e-10
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
4.4841907964610073e-13
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.436299107286491e-5
0.9997146025639732
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.436299107286491e-5
0.9997146025639732
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.436299107286491e-5
0.9997146025639732
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify15.0ms (0.2%)

Memory
-52.3MiB live, 14.2MiB allocated
Algorithm
1×egg-herbie
Rules
26×+-commutative_binary64
16×sub-neg_binary64
12×*-commutative_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043185
155185
265185
384185
496185
5101185
6103185
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 944473296573929/9444732965739290427392 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) 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 4951760157141521/9903520314283042199192993792 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 0 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 7378697629483821/73786976294838206464 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #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 7378697629483821/73786976294838206464 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #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 7378697629483821/73786976294838206464 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(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 944473296573929/9444732965739290427392 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) 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 944473296573929/9444732965739290427392 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) 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 4951760157141521/9903520314283042199192993792 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 4951760157141521/9903520314283042199192993792 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 0 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 0 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 7378697629483821/73786976294838206464 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #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 7378697629483821/73786976294838206464 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #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 7378697629483821/73786976294838206464 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #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 7378697629483821/73786976294838206464 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #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 7378697629483821/73786976294838206464 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 7378697629483821/73786976294838206464 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.3s (13.3%)

Memory
20.1MiB live, 726.8MiB allocated
Rules
15 328×accelerator-lowering-fma.f32
15 328×accelerator-lowering-fma.f64
12 624×accelerator-lowering-fma.f32
12 624×accelerator-lowering-fma.f64
11 552×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01655
110453
290553
0866745
0731
16231
269931
0852331
071866
1200812
2527804
31574796
44762796
08277758
099362
1272352
2618340
31569322
44393320
08115309
01041019
1326960
2912931
33917919
08227853
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 375 to 158 computations (57.9% saved)

preprocess94.0ms (1%)

Memory
6.9MiB live, 155.8MiB allocated
Compiler

Compiled 400 to 102 computations (74.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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