Asymptote C

Time bar (total: 7.5s)

analyze2.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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)

sample892.0ms (11.8%)

Memory
13.0MiB live, 1 287.9MiB allocated
Samples
229.0ms1 571×2valid
224.0ms2 389×1valid
214.0ms4 296×0valid
Precisions
Click to see histograms. Total time spent on operations: 477.0ms
ival-div: 201.0ms (42.1% of total)
ival-sub: 119.0ms (24.9% of total)
ival-add: 80.0ms (16.8% of total)
adjust: 63.0ms (13.2% of total)
exact: 6.0ms (1.3% of total)
ival-true: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess86.0ms (1.1%)

Memory
-20.5MiB live, 78.0MiB 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)))

explain114.0ms (1.5%)

Memory
-2.9MiB live, 192.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1340-1(-0.337362914041321)(-.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))))cancellation1331
Confusion
Predicted +Predicted -
+1331
-0122
Precision
1.0
Recall
0.9925373134328358
Confusion?
Predicted +Predicted MaybePredicted -
+13310
-00122
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0123
1133
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
20.0ms156×1valid
17.0ms102×2valid
13.0ms254×0valid
Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 13.0ms (38.1% of total)
adjust: 8.0ms (23.5% of total)
ival-sub: 8.0ms (23.5% of total)
ival-add: 4.0ms (11.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.1%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 7 computations (50% saved)

simplify41.0ms (0.5%)

Memory
11.4MiB live, 50.3MiB 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))

localize36.0ms (0.5%)

Memory
-5.6MiB live, 75.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓accuracy52.1%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Samples
9.0ms78×1valid
8.0ms127×0valid
8.0ms51×2valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 6.0ms (34.8% of total)
ival-sub: 5.0ms (29% of total)
adjust: 3.0ms (17.4% of total)
ival-add: 2.0ms (11.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))>
#<alt (/ x (+ x 1))>
#<alt (+ x 1)>
#<alt (/ (+ x 1) (- x 1))>
Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* -2 x) 2)) 1)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))>
Calls

12 calls:

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

rewrite363.0ms (4.8%)

Memory
41.1MiB live, 573.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 288×/-lowering-/.f32
5 288×/-lowering-/.f64
4 896×*-lowering-*.f32
4 896×*-lowering-*.f64
4 620×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify286.0ms (3.8%)

Memory
-32.4MiB live, 501.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 608×accelerator-lowering-fma.f32
9 608×accelerator-lowering-fma.f64
2 654×*-lowering-*.f32
2 654×*-lowering-*.f64
1 928×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095332
1262322
2585310
31504292
43719290
56658290
08041279
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- (* -2 x) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(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)))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x (+ 1 (* x (- x 1))))
(fma.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 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))

eval51.0ms (0.7%)

Memory
8.9MiB live, 91.4MiB allocated
Compiler

Compiled 12 202 to 1 234 computations (89.9% saved)

prune53.0ms (0.7%)

Memory
-13.2MiB live, 109.0MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4289437
Fresh000
Picked011
Done000
Total42810438
Accuracy
100.0%
Counts
438 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(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))
▶48.4%
(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))
▶48.9%
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
48.5%
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
▶50.3%
(/.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)))
▶53.1%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
52.3%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
52.8%
(/.f64 #s(literal -3 binary64) x)
✓52.1%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶49.2%
#s(literal 1 binary64)
Compiler

Compiled 186 to 119 computations (36% saved)

simplify337.0ms (4.5%)

Memory
13.6MiB live, 503.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓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))))
✓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 #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)
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
2194132
3535132
41817126
08582115
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)
(+ -3 (/ (+ -1 (/ -3 x)) x))
-3
(/ (+ -1 (/ -3 x)) x)
(+ -1 (/ -3 x))
-1
(/ -3 x)
x
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
(/ (- (* 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)
Outputs
(/ (+ -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
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)
(/ (- (* 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 #s(literal -1 binary64) x) #s(literal 0 binary64))
x
(+ x -1)
(+.f64 #s(literal -1 binary64) x)
-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))

localize109.0ms (1.4%)

Memory
-10.7MiB live, 185.8MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓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)))
✓accuracy75.5%
(/.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)))
✓accuracy51.0%
(-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓accuracy100.0%
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
✓accuracy99.9%
(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 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
✓accuracy99.9%
(/.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)
Samples
36.0ms102×1valid
23.0ms127×0valid
12.0ms26×2valid
1.0ms1×3valid
Compiler

Compiled 133 to 29 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-add: 18.0ms (34.8% of total)
ival-mult: 15.0ms (29% of total)
ival-div: 10.0ms (19.4% of total)
adjust: 6.0ms (11.6% of total)
ival-sub: 2.0ms (3.9% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)>
#<alt (+ -3 (/ (+ -1 (/ -3 x)) x))>
#<alt (/ (+ -1 (/ -3 x)) x)>
#<alt (+ -1 (/ -3 x))>
#<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 (- (* 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 (+ x -1))>
Outputs
#<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>
#<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 -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 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))
1.0ms
x
@-inf
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)
0.0ms
x
@0
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)
0.0ms
x
@0
(- (* x (+ x -1)) (* (+ x 1) (+ x 1)))
0.0ms
x
@inf
(- (* x (+ x -1)) (* (+ x 1) (+ x 1)))

rewrite548.0ms (7.3%)

Memory
6.3MiB live, 561.0MiB 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
22057110
09681102
Stop Event
1×iter limit
1×node limit
Counts
14 → 807
Calls
Call 1
Inputs
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)
(+ -3 (/ (+ -1 (/ -3 x)) x))
(/ (+ -1 (/ -3 x)) x)
(+ -1 (/ -3 x))
(+ (* x (+ 3 x)) 1)
(+ 3 x)
(+ (* x (+ (* x (+ (* 3 x) 1)) 3)) 1)
(+ (* x (+ (* 3 x) 1)) 3)
(+ (* 3 x) 1)
(- (* x (+ x -1)) (* (+ x 1) (+ x 1)))
(* (+ x 1) (+ x 1))
(/ (- (* x (+ x -1)) (* (+ x 1) (+ x 1))) (+ (* x x) -1))
(+ x -1)
(* x (+ x -1))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x) (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) (*.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) (*.f64 x x)) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))))
(neg.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))))
(/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
(/.f64 (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) (*.f64 x x)))) (neg.f64 (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))))
(/.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(pow.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
(*.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(*.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (*.f64 x (*.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 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))))))
(pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (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 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 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 (+.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 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x)))) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (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 x x) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal -1 binary64) x (*.f64 x x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x x (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 x (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 (*.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 #s(literal -1 binary64) x))
(*.f64 (+.f64 #s(literal -1 binary64) x) x)
(*.f64 (+.f64 #s(literal -1 binary64) x) (/.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 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))
(*.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 (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))))
(*.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 #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 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))

simplify499.0ms (6.6%)

Memory
0.6MiB live, 480.9MiB 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
01041027
1326976
2913947
33918919
08247853
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(/ -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
(+ 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)))
-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 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
(/ -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
#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))
-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 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))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))

eval191.0ms (2.5%)

Memory
-11.8MiB live, 181.0MiB allocated
Compiler

Compiled 31 679 to 3 133 computations (90.1% saved)

prune138.0ms (1.8%)

Memory
0.3MiB live, 201.2MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New9723975
Fresh224
Picked235
Done101
Total9778985
Accuracy
100.0%
Counts
985 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.4%
(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))
✓48.9%
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
▶48.5%
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
▶75.5%
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶52.3%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
▶28.5%
(/.f64 (*.f64 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
▶52.8%
(/.f64 #s(literal -3 binary64) x)
✓49.2%
#s(literal 1 binary64)
Compiler

Compiled 92 to 63 computations (31.5% saved)

simplify298.0ms (4%)

Memory
-1.4MiB live, 472.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -1 binary64) x)
✓cost-diff0
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓cost-diff0
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓cost-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
(/.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
9 456×accelerator-lowering-fma.f32
9 456×accelerator-lowering-fma.f64
2 276×*-lowering-*.f32
2 276×*-lowering-*.f64
2 264×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01775
13075
24875
38475
411775
520975
643775
781875
8266775
9453775
10779775
0814068
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
(/ (* -3 x) (+ (* x x) -1))
(* -3 x)
-3
x
(+ (* x x) -1)
-1
(/ (+ -3 (/ -1 x)) x)
(+ -3 (/ -1 x))
-3
(/ -1 x)
-1
x
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
(/ (* -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)
(/ (+ -3 (/ -1 x)) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(+ -3 (/ -1 x))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x

localize67.0ms (0.9%)

Memory
33.7MiB live, 110.1MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓accuracy99.9%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 #s(literal -3 binary64) x)
✓accuracy75.3%
(/.f64 (*.f64 #s(literal -3 binary64) x) (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))
✓accuracy75.5%
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Samples
26.0ms204×0valid
6.0ms20×2valid
6.0ms14×3valid
4.0ms18×1valid
Compiler

Compiled 70 to 19 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 14.0ms (49.5% of total)
ival-mult: 6.0ms (21.2% of total)
ival-add: 6.0ms (21.2% of total)
adjust: 2.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-33.5MiB live, 9.8MiB allocated
Counts
10 → 120
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 (/ (* -3 x) (+ (* x x) -1))>
#<alt (* -3 x)>
#<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 (- (* -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 (* 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)>
#<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

30 calls:

TimeVariablePointExpression
6.0ms
x
@0
(/ -3 x)
0.0ms
x
@-inf
(/ (+ -3 (/ -1 x)) x)
0.0ms
x
@0
(/ (+ -3 (/ -1 x)) x)
0.0ms
x
@inf
(/ (+ -3 (/ -1 x)) x)
0.0ms
x
@0
(/ -1 x)

rewrite415.0ms (5.5%)

Memory
8.0MiB live, 582.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 638×accelerator-lowering-fma.f32
4 638×accelerator-lowering-fma.f64
4 298×*-lowering-*.f32
4 298×*-lowering-*.f64
3 858×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01756
110956
285456
0886250
Stop Event
1×iter limit
1×node limit
Counts
10 → 840
Calls
Call 1
Inputs
(/ (+ (* -3 x) -1) (+ (* x x) -1))
(+ (* -3 x) -1)
(+ (* x x) -1)
(+ (* x 3) 1)
(/ -3 x)
(/ (* -3 x) (+ (* x x) -1))
(* -3 x)
(/ (+ -3 (/ -1 x)) x)
(+ -3 (/ -1 x))
(/ -1 x)
Outputs
(+.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 (*.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 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 (*.f64 x 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 (*.f64 x x))) (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x 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 #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 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal -1 binary64)))) (*.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 (*.f64 x x))) (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) #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 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 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))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)))))
(fma.f64 #s(literal -3 binary64) (/.f64 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)))
(fma.f64 #s(literal -3 binary64) (/.f64 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)))))
(fma.f64 x (/.f64 #s(literal -3 binary64) (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)))
(fma.f64 x (/.f64 #s(literal -3 binary64) (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)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -3 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 x (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (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)))
(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) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 #s(literal 1 binary64) (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)))
(fma.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 #s(literal 1 binary64) (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)))))
(fma.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))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) (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)))
(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) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 0 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)))
(fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 0 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)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) (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)))
(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) (/.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 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #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) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.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)))
(fma.f64 #s(literal 1 binary64) (/.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)))))
(fma.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 (*.f64 x x))) (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal -1 binary64))) (*.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 (*.f64 x x))) (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 3 binary64) (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)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 3 binary64) (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)))))
(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 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #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) (/.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))) (*.f64 #s(literal -3 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -1 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 #s(literal -3 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal -3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 x x) (/.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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
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(*.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 #s(literal 0 binary64) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -9 binary64) (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 (/.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))))
(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 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #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)))

simplify371.0ms (4.9%)

Memory
-5.1MiB live, 631.1MiB allocated
Algorithm
1×egg-herbie
Rules
13 846×accelerator-lowering-fma.f32
13 846×accelerator-lowering-fma.f64
3 374×*-lowering-*.f32
3 374×*-lowering-*.f64
2 160×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092673
1266638
2677619
31874610
44880610
08058576
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
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)
(* 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)
(/ -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)
(- (* -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)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 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)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 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)
(* 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 #s(literal 3 binary64) (*.f64 x (fma.f64 x (*.f64 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 x x) (fma.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 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)
(fma.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))))) #s(literal 0 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))) (/ 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)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 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)

eval124.0ms (1.7%)

Memory
16.7MiB live, 255.6MiB allocated
Compiler

Compiled 20 998 to 1 974 computations (90.6% saved)

prune181.0ms (2.4%)

Memory
-28.5MiB live, 288.2MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1 06531 068
Fresh000
Picked145
Done033
Total1 066101 076
Accuracy
100.0%
Counts
1 076 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.4%
(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))
✓48.9%
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
✓48.5%
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
▶27.8%
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
✓75.5%
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓52.3%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
▶28.2%
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x))
✓52.8%
(/.f64 #s(literal -3 binary64) x)
▶2.6%
(*.f64 #s(literal 3 binary64) x)
✓49.2%
#s(literal 1 binary64)
Compiler

Compiled 68 to 46 computations (32.4% saved)

simplify358.0ms (4.7%)

Memory
11.4MiB live, 373.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
✓cost-diff0
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal -3 binary64) x)
✓cost-diff640
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x))
✓cost-diff0
(*.f64 #s(literal 3 binary64) x)
Rules
6 818×*-lowering-*.f32
6 818×*-lowering-*.f64
3 088×cube-prod
2 828×/-lowering-/.f32
2 828×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
12436
23436
36036
48036
517736
635636
786836
8182836
9215936
10262836
11335236
12437436
13479736
14505936
15523036
16540836
17559636
18697036
19758536
20776836
21780036
22781436
23783636
24785236
25797236
0801134
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 3 x)
3
x
(/ (* -3 x) (* x x))
(* -3 x)
-3
x
(* x x)
(/ (+ (* x -3) -1) (* x x))
(+ (* x -3) -1)
x
-3
-1
(* x x)
Outputs
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
x
(/ (* -3 x) (* x x))
(/.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 x #s(literal -3 binary64))
-3
#s(literal -3 binary64)
x
(* x x)
(*.f64 x x)
(/ (+ (* x -3) -1) (* x x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(+ (* x -3) -1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
x
-3
#s(literal -3 binary64)
-1
#s(literal -1 binary64)
(* x x)
(*.f64 x x)

localize34.0ms (0.5%)

Memory
20.8MiB live, 60.3MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy75.4%
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal -3 binary64) x)
✓accuracy53.3%
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x))
✓accuracy100.0%
(*.f64 #s(literal 3 binary64) x)
Samples
18.0ms229×0valid
2.0ms16×2valid
1.0ms11×1valid
Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (54% of total)
ival-div: 3.0ms (23.1% of total)
ival-add: 1.0ms (7.7% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
-35.7MiB live, 2.7MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (* 3 x)>
#<alt (/ (* -3 x) (* x x))>
#<alt (* -3 x)>
#<alt (* x x)>
#<alt (/ (+ (* x -3) -1) (* x x))>
#<alt (+ (* x -3) -1)>
Outputs
#<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 (* -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))))>
Calls

18 calls:

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

rewrite341.0ms (4.5%)

Memory
52.6MiB live, 439.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 558×/-lowering-/.f32
4 558×/-lowering-/.f64
3 918×*-lowering-*.f32
3 918×*-lowering-*.f64
3 878×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
15426
232626
3285024
0879023
Stop Event
1×iter limit
1×node limit
Counts
6 → 652
Calls
Call 1
Inputs
(* 3 x)
(/ (* -3 x) (* x x))
(* -3 x)
(* x x)
(/ (+ (* x -3) -1) (* x x))
(+ (* x -3) -1)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))))
(neg.f64 (*.f64 x #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 #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 #s(literal 3 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -3 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 3 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -3 binary64) x)
(/.f64 #s(literal -3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x #s(literal -3 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal -3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal -3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 3 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 #s(literal 3 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) x) #s(literal -1 binary64)))
(*.f64 x (/.f64 #s(literal -3 binary64) (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 x (*.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -3 binary64) (*.f64 x x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) x))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 3 binary64) x))
(*.f64 (/.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) x))
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) x))
(neg.f64 (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(pow.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 3 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 x #s(literal -3 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal -3 binary64))))
(*.f64 #s(literal -3 binary64) x)
(*.f64 #s(literal -3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) #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 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -3 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) #s(literal -3 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal -3 binary64))) x)
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -19683 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))))) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (*.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) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -19683 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))))
(pow.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal -1 binary64)) (fma.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (fma.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -19683 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1 binary64))))

simplify269.0ms (3.6%)

Memory
-35.9MiB live, 372.6MiB allocated
Algorithm
1×egg-herbie
Rules
4 444×*-lowering-*.f32
4 444×*-lowering-*.f64
4 340×accelerator-lowering-fma.f32
4 340×accelerator-lowering-fma.f64
1 524×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019288
144288
2106270
3161270
4335270
51034270
62138270
73393270
84796270
95472270
106147270
117180270
127573270
08084261
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 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)
(* -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))))
Outputs
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 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)
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(* -3 x)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.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)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (/ (+ 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 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.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)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 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)
(fma.f64 x #s(literal -3 binary64) #s(literal 0 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))

eval87.0ms (1.2%)

Memory
29.0MiB live, 184.4MiB allocated
Compiler

Compiled 14 240 to 1 633 computations (88.5% saved)

prune118.0ms (1.6%)

Memory
2.3MiB live, 160.6MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New7670767
Fresh000
Picked033
Done077
Total76710777
Accuracy
100.0%
Counts
777 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.4%
(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))
✓48.9%
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
✓48.5%
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
✓27.8%
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
✓75.5%
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓52.3%
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓28.2%
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x))
✓52.8%
(/.f64 #s(literal -3 binary64) x)
✓2.6%
(*.f64 #s(literal 3 binary64) x)
✓49.2%
#s(literal 1 binary64)
Compiler

Compiled 198 to 93 computations (53% saved)

regimes19.0ms (0.3%)

Memory
-35.9MiB live, 15.0MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) x)
(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 (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 x #s(literal -3 binary64) #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 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 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 #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

2 calls:

13.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
5.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
99.6%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 8 computations (50% saved)

regimes4.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) x)
(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 (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 x #s(literal -3 binary64) #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)))
(/.f64 #s(literal -3 binary64) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) x)
(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 (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 x #s(literal -3 binary64) #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))
(/.f64 #s(literal -3 binary64) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) x)
(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)
Outputs
(/.f64 #s(literal -3 binary64) x)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Accuracy

Total -29.9b remaining (-92.1%)

Threshold costs -29.9b (-92.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) x)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
Outputs
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
49.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.775069228912798e-13
2.049826974825919e-11
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch10.0ms (0.1%)

Memory
-24.2MiB live, 14.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
4.0ms
327029383.1253594
1975182910863742700.0
6.0ms
-6.695145839743641e+34
-3.6277906859575405e+33
Samples
6.0ms64×1valid
Compiler

Compiled 81 to 55 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (50.1% of total)
adjust: 1.0ms (25% of total)
ival-add: 1.0ms (25% of total)
ival-sub: 1.0ms (25% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Memory
11.3MiB live, 47.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.7354094937500555e-7
285642654.97196466
12.0ms
-2408291.8155732974
-0.337362914041321
Samples
15.0ms304×0valid
Compiler

Compiled 340 to 220 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 5.0ms (54.1% of total)
ival-sub: 3.0ms (32.4% of total)
ival-add: 2.0ms (21.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Memory
14.1MiB live, 52.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.7354094937500555e-7
285642654.97196466
15.0ms
-2408291.8155732974
-0.337362914041321
Samples
18.0ms304×0valid
Compiler

Compiled 226 to 182 computations (19.5% saved)

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

simplify36.0ms (0.5%)

Memory
-22.7MiB live, 21.6MiB allocated
Algorithm
1×egg-herbie
Rules
20×+-commutative_binary64
16×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
10×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03592
15192
26192
38092
49292
59792
69992
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 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 x #s(literal -9999999999999999455752309870428160 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 50000000000000 binary64)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 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 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) x)))
#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 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 x #s(literal -9999999999999999455752309870428160 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 50000000000000 binary64)) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 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 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) x)))
#s(literal 1 binary64)

soundness855.0ms (11.3%)

Memory
7.2MiB live, 395.5MiB allocated
Rules
15 328×accelerator-lowering-fma.f32
15 328×accelerator-lowering-fma.f64
9 608×accelerator-lowering-fma.f32
9 608×accelerator-lowering-fma.f64
5 288×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095332
1262322
2585310
31504292
43719290
56658290
08041279
0728
16228
269928
0852328
01041027
1326976
2913947
33918919
08247853
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 195 to 95 computations (51.3% saved)

preprocess112.0ms (1.5%)

Memory
19.4MiB live, 108.1MiB allocated
Compiler

Compiled 226 to 86 computations (61.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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