Logistic function from Lakshay Garg

Time bar (total: 8.9s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 12 to 12 computations (0% saved)

sample1.6s (18%)

Memory
-180.0MiB live, 1 845.1MiB allocated
Samples
602.0ms2 420×1valid
377.0ms1 324×2valid
232.0ms4 285×0valid
118.0ms227×3valid
Precisions
Click to see histograms. Total time spent on operations: 846.0ms
ival-exp: 407.0ms (48.1% of total)
ival-div: 106.0ms (12.5% of total)
ival-mult: 81.0ms (9.6% of total)
ival-add: 79.0ms (9.3% of total)
adjust: 78.0ms (9.2% of total)
ival-sub: 70.0ms (8.3% of total)
exact: 16.0ms (1.9% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess27.0ms (0.3%)

Memory
17.8MiB live, 17.8MiB allocated
Algorithm
2×egg-herbie
Rules
102×sub-neg
56×exp-prod
56×+-commutative
32×associate-+l-
32×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02364
14762
28960
313460
416860
521960
627160
731760
836960
943660
1047560
1149260
1250760
1352060
1452860
1553260
0910
11810
22110
02110
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
Outputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
Call 2
Inputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1)
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(neg (- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1))
(neg (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
(- (/ 2 (+ 1 (exp (* -2 y)))) 1)
Outputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(+ (/ 2 (+ 1 (pow (exp -2) x))) -1)
(- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1)
(+ (/ 2 (+ 1 (pow (exp x) 2))) -1)
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(+ (/ 2 (+ 1 (pow (exp -2) x))) -1)
(neg (- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1))
(+ 1 (/ 2 (- -1 (pow (exp x) 2))))
(neg (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
(+ 1 (/ 2 (- -1 (pow (exp -2) x))))
(- (/ 2 (+ 1 (exp (* -2 y)))) 1)
(+ (/ 2 (+ 1 (pow (exp -2) y))) -1)
Symmetry

(abs y)

explain161.0ms (1.8%)

Memory
-0.0MiB live, 194.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1261(-0.0016981529829959055 3.1592416913925014e+20)0-(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
00-0-(exp.f64 (*.f64 #s(literal -2 binary64) x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal -2 binary64) x)
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
00-0-#s(literal -2 binary64)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))cancellation1270
Confusion
Predicted +Predicted -
+1270
-0129
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12700
-01128
Precision?
0.9921875
Recall?
1.0
Freqs
test
numberfreq
0129
1127
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms154×1valid
26.0ms78×2valid
17.0ms268×0valid
6.0ms12×3valid
Compiler

Compiled 98 to 44 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-exp: 33.0ms (55.6% of total)
ival-div: 6.0ms (10.1% of total)
ival-mult: 6.0ms (10.1% of total)
adjust: 4.0ms (6.7% of total)
ival-sub: 4.0ms (6.7% of total)
ival-add: 4.0ms (6.7% of total)
exact: 1.0ms (1.7% 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 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.2%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify7.0ms (0.1%)

Memory
-35.1MiB live, 6.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 (*.f64 #s(literal -2 binary64) x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Rules
8×+-lowering-+.f64
8×+-lowering-+.f32
6×exp-lowering-exp.f32
6×exp-lowering-exp.f64
4×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
11835
22135
02135
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 1 (exp (* -2 x)))
1
(exp (* -2 x))
(* -2 x)
-2
x
Outputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2
#s(literal 2 binary64)
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
1
#s(literal 1 binary64)
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x

localize48.0ms (0.5%)

Memory
40.7MiB live, 79.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (*.f64 #s(literal -2 binary64) x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓accuracy55.3%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Samples
12.0ms39×2valid
11.0ms77×1valid
8.0ms134×0valid
3.0ms6×3valid
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-exp: 12.0ms (49.3% of total)
ival-div: 3.0ms (12.3% of total)
ival-mult: 3.0ms (12.3% of total)
adjust: 2.0ms (8.2% of total)
ival-sub: 2.0ms (8.2% of total)
ival-add: 2.0ms (8.2% of total)
exact: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
-32.2MiB live, 6.9MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (exp (* -2 x))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.0ms
x
@-inf
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.0ms
x
@0
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0ms
x
@-inf
(/ 2 (+ 1 (exp (* -2 x))))
0.0ms
x
@inf
(/ 2 (+ 1 (exp (* -2 x))))

rewrite268.0ms (3%)

Memory
-5.9MiB live, 359.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 790×accelerator-lowering-fma.f32
3 790×accelerator-lowering-fma.f64
3 628×*-lowering-*.f32
3 628×*-lowering-*.f64
2 806×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
14828
236628
3597128
0813728
Stop Event
1×iter limit
1×node limit
Counts
4 → 282
Calls
Call 1
Inputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(fma.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64))))))
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(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))))
(*.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal -4 binary64) (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))))

simplify390.0ms (4.4%)

Memory
19.4MiB live, 382.4MiB allocated
Algorithm
1×egg-herbie
Rules
15 342×accelerator-lowering-fma.f32
15 342×accelerator-lowering-fma.f64
3 260×*-lowering-*.f32
3 260×*-lowering-*.f64
1 930×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049358
1119358
2234348
3604348
41194348
51764348
62024348
72599348
83669348
95745348
106685348
117091348
127233348
137295348
147337348
08101327
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(-.f64 #s(literal 1 binary64) (+.f64 x x))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))

eval72.0ms (0.8%)

Memory
-20.8MiB live, 55.3MiB allocated
Compiler

Compiled 7 804 to 984 computations (87.4% saved)

prune70.0ms (0.8%)

Memory
31.0MiB live, 70.2MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3219330
Fresh000
Picked011
Done000
Total32110331
Accuracy
100.0%
Counts
331 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
51.3%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
49.8%
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
5.1%
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶33.8%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
▶33.7%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
▶33.3%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓55.2%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶4.4%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶51.9%
x
Compiler

Compiled 226 to 144 computations (36.3% saved)

simplify855.0ms (9.6%)

Memory
-25.2MiB live, 688.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓cost-diff0
(+.f64 #s(literal -2 binary64) (+.f64 x x))
✓cost-diff0
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓cost-diff192
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 x x)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x x))
✓cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓cost-diff192
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
✓cost-diff192
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Rules
25 348×accelerator-lowering-fma.f32
25 348×accelerator-lowering-fma.f64
2 740×+-lowering-+.f64
2 740×+-lowering-+.f32
2 528×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024139
162139
2142139
3282139
4712139
51824131
64523131
76150131
86955131
97309131
107497131
117550131
127631131
137698131
147710131
157722131
167835131
177847131
187851131
197853131
207853131
08190113
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
x
(- 1 1)
1
(- (/ 2 (- 2 (+ x x))) 1)
(/ 2 (- 2 (+ x x)))
2
(- 2 (+ x x))
(+ x x)
x
1
(- (/ 2 (+ (* x (+ -2 (+ x x))) 2)) 1)
(/ 2 (+ (* x (+ -2 (+ x x))) 2))
2
(+ (* x (+ -2 (+ x x))) 2)
x
(+ -2 (+ x x))
-2
(+ x x)
1
(- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)
(/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2))
2
(+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)
x
(+ (* x (+ (* x -4/3) 2)) -2)
(+ (* x -4/3) 2)
-4/3
-2
1
Outputs
x
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(- (/ 2 (- 2 (+ x x))) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/ 2 (- 2 (+ x x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
2
#s(literal 2 binary64)
(- 2 (+ x x))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+ x x)
(+.f64 x x)
x
1
#s(literal 1 binary64)
(- (/ 2 (+ (* x (+ -2 (+ x x))) 2)) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/ 2 (+ (* x (+ -2 (+ x x))) 2))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
2
#s(literal 2 binary64)
(+ (* x (+ -2 (+ x x))) 2)
(fma.f64 x (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
x
(+ -2 (+ x x))
(+.f64 (+.f64 x x) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(+ x x)
(+.f64 x x)
1
#s(literal 1 binary64)
(- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
x
(+ (* x (+ (* x -4/3) 2)) -2)
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(+ (* x -4/3) 2)
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
-4/3
#s(literal -4/3 binary64)
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)

localize115.0ms (1.3%)

Memory
19.5MiB live, 171.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
✓accuracy99.7%
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
✓accuracy99.5%
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
✓accuracy55.3%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x x)
✓accuracy100.0%
(+.f64 #s(literal -2 binary64) (+.f64 x x))
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
✓accuracy55.3%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x x))
✓accuracy100.0%
(+.f64 x x)
✓accuracy99.7%
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
✓accuracy55.2%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Samples
26.0ms77×1valid
26.0ms134×0valid
19.0ms39×2valid
3.0ms5×3valid
1.0ms1×4valid
Compiler

Compiled 128 to 26 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 11.0ms (21.1% of total)
ival-add: 11.0ms (21.1% of total)
ival-sub: 9.0ms (17.3% of total)
ival-mult: 9.0ms (17.3% of total)
adjust: 8.0ms (15.4% of total)
const: 4.0ms (7.7% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
14 → 156
Calls
Call 1
Inputs
#<alt (- 1 1)>
#<alt (/ 2 (- 2 (+ x x)))>
#<alt (- (/ 2 (- 2 (+ x x))) 1)>
#<alt (- 2 (+ x x))>
#<alt (+ x x)>
#<alt (/ 2 (+ (* x (+ -2 (+ x x))) 2))>
#<alt (- (/ 2 (+ (* x (+ -2 (+ x x))) 2)) 1)>
#<alt (+ (* x (+ -2 (+ x x))) 2)>
#<alt (+ -2 (+ x x))>
#<alt (- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)>
#<alt (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2))>
#<alt (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)>
#<alt (+ (* x (+ (* x -4/3) 2)) -2)>
#<alt (+ (* x -4/3) 2)>
Outputs
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))>
#<alt -1>
#<alt (- (/ 1 (pow x 2)) 1)>
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)>
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5))))>
#<alt -1>
#<alt (- (/ 1 (pow x 2)) 1)>
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)>
#<alt (- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1)>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* 2 x) 2)>
#<alt (- (* 2 x) 2)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)>
#<alt (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)>
#<alt (- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))>
#<alt (/ -3/2 (pow x 3))>
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))>
#<alt (/ -3/2 (pow x 3))>
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (* -4/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* -4/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* x (+ 2 (* -4/3 x))) 2)>
#<alt (- (* x (+ 2 (* -4/3 x))) 2)>
#<alt (* -4/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* -4/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))>
#<alt 2>
#<alt (+ 2 (* -4/3 x))>
#<alt (+ 2 (* -4/3 x))>
#<alt (+ 2 (* -4/3 x))>
#<alt (* -4/3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 4/3))>
#<alt (* x (- (* 2 (/ 1 x)) 4/3))>
#<alt (* x (- (* 2 (/ 1 x)) 4/3))>
#<alt (* -4/3 x)>
#<alt (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)
1.0ms
x
@0
(/ 2 (- 2 (+ x x)))
0.0ms
x
@inf
(- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)
0.0ms
x
@inf
(+ x x)
0.0ms
x
@0
(- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)

rewrite170.0ms (1.9%)

Memory
-3.9MiB live, 187.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 766×accelerator-lowering-fma.f32
1 766×accelerator-lowering-fma.f64
634×*-lowering-*.f32
634×*-lowering-*.f64
616×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024110
1186110
0202091
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
14 → 562
Calls
Call 1
Inputs
(- 1 1)
(/ 2 (- 2 (+ x x)))
(- (/ 2 (- 2 (+ x x))) 1)
(- 2 (+ x x))
(+ x x)
(/ 2 (+ (* x (+ -2 (+ x x))) 2))
(- (/ 2 (+ (* x (+ -2 (+ x x))) 2)) 1)
(+ (* x (+ -2 (+ x x))) 2)
(+ -2 (+ x x))
(- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)
(/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2))
(+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)
(+ (* x (+ (* x -4/3) 2)) -2)
(+ (* x -4/3) 2)
Outputs
#s(literal 0 binary64)
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal -2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x)))))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal -1 binary64))
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))))
(+.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(+.f64 (*.f64 x (*.f64 x #s(literal -4/3 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)))
(+.f64 (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -4/3 binary64)))) (+.f64 x x))
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))))) (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 x (*.f64 x #s(literal -4/3 binary64)) (+.f64 (+.f64 x x) #s(literal -2 binary64)))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal -4/3 binary64) (*.f64 x x) (+.f64 (+.f64 x x) #s(literal -2 binary64)))
(fma.f64 (*.f64 x #s(literal -4/3 binary64)) x (+.f64 (+.f64 x x) #s(literal -2 binary64)))
(fma.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 (*.f64 x x) #s(literal -4/3 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (+.f64 x x))) (fma.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))))) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) #s(literal -4 binary64))))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))))) #s(literal -8 binary64)) (-.f64 (fma.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (+.f64 x x))))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))))) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))))) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (+.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) #s(literal -4 binary64)) (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))))) #s(literal -8 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (+.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) #s(literal -4 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))))) (-.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (+.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))
(+.f64 (*.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/9 binary64)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal 4 binary64)) (*.f64 x #s(literal -8/3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal 4 binary64)) (*.f64 x #s(literal -8/3 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 16/9 binary64)) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal 4 binary64)) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 16/9 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal 4 binary64)) (*.f64 x #s(literal -8/3 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))))

simplify267.0ms (3%)

Memory
-15.2MiB live, 468.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 642×accelerator-lowering-fma.f32
8 642×accelerator-lowering-fma.f64
3 658×*-lowering-*.f32
3 658×*-lowering-*.f64
1 978×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071184
15831127
216281104
351531080
08342993
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))
(* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))
-1
(- (/ 1 (pow x 2)) 1)
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5))))
-1
(- (/ 1 (pow x 2)) 1)
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)
(- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* 2 x) 2)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
-2
(- (* 2 x) 2)
(- (* 2 x) 2)
(- (* 2 x) 2)
(* 2 x)
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* 2 x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))
-1
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))
-1
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))
(/ -3/2 (pow x 3))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))
(/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))
(/ -3/2 (pow x 3))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 3))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
2
(+ 2 (* -4/3 x))
(+ 2 (* -4/3 x))
(+ 2 (* -4/3 x))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* x (- (* 2 (/ 1 x)) 4/3))
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 x)
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 x)))
(+.f64 #s(literal 1 binary64) (fma.f64 x x x))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 x (fma.f64 x x x) x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))
(fma.f64 x (fma.f64 (fma.f64 x x x) (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (*.f64 x x))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) x)) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) x)) (*.f64 x x))
x
(* x (+ 1 (* -1 (pow x 2))))
(fma.f64 (*.f64 x x) (neg.f64 x) x)
(* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))
(fma.f64 x (*.f64 (fma.f64 x x x) (neg.f64 x)) x)
(* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (/ 1 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5))))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- (/ 1 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* x (- 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* x (- 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))))
(- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x (*.f64 x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))))
(- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ -3/2 (pow x 3))
(/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (-.f64 #s(literal -9/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 9/16 binary64) x)) x)) x)) (*.f64 x (*.f64 x x)))
(/ -3/2 (pow x 3))
(/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (-.f64 #s(literal -9/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 9/16 binary64) x)) x)) x)) (*.f64 x (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(* -4/3 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -4/3 binary64)))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -4/3 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) x)))
(* -4/3 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -4/3 binary64)))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -4/3 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) x)))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(* -4/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4/3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(* -4/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4/3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4/3 x))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(+ 2 (* -4/3 x))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(+ 2 (* -4/3 x))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))

eval158.0ms (1.8%)

Memory
5.0MiB live, 255.8MiB allocated
Compiler

Compiled 14 276 to 2 173 computations (84.8% saved)

prune93.0ms (1.1%)

Memory
-4.2MiB live, 227.8MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New8286834
Fresh224
Picked415
Done101
Total8359844
Accuracy
100.0%
Counts
844 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.0%
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
▶51.3%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
24.0%
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
49.8%
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
▶5.1%
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
23.9%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x)))) #s(literal 1 binary64))
▶24.1%
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))
✓51.9%
x
▶31.1%
#s(literal -1 binary64)
Compiler

Compiled 221 to 136 computations (38.5% saved)

simplify500.0ms (5.6%)

Memory
40.2MiB live, 752.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
✓cost-diff0
(+.f64 (+.f64 x x) #s(literal -4 binary64))
✓cost-diff192
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64)))
✓cost-diff384
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))
✓cost-diff512
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)))
✓cost-diff0
(*.f64 x #s(literal -1/3 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff256
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
Rules
18 182×accelerator-lowering-fma.f32
18 182×accelerator-lowering-fma.f64
4 286×*-lowering-*.f32
4 286×*-lowering-*.f64
3 650×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033167
196161
2242157
3651149
41841143
52810143
64988143
08393129
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)
(+ (* (* x x) 2/15) -1/3)
(* x x)
x
2/15
-1/3
(* x (* x x))
-1
(- (+ (* x (+ (* x (* x -1/3)) 1)) 1) 1)
(+ (* x (+ (* x (* x -1/3)) 1)) 1)
x
(+ (* x (* x -1/3)) 1)
(* x -1/3)
-1/3
1
(- (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) 1)
(* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2))
(/ 2 (+ (+ x x) -4))
2
(+ (+ x x) -4)
(+ x x)
x
-4
(+ (+ x x) -2)
-2
1
(+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)
(+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3)
(* x x)
x
(+ (* (* x x) -17/315) 2/15)
-17/315
2/15
-1/3
(* x (* x x))
Outputs
(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)
(+ (* (* x x) 2/15) -1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* x x)
(*.f64 x x)
x
2/15
#s(literal 2/15 binary64)
-1/3
#s(literal -1/3 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
-1
#s(literal -1 binary64)
(- (+ (* x (+ (* x (* x -1/3)) 1)) 1) 1)
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(+ (* x (+ (* x (* x -1/3)) 1)) 1)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(+ (* x (* x -1/3)) 1)
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 binary64)
(- (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) 1)
(/.f64 x (+.f64 x #s(literal -2 binary64)))
(* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2))
(+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal -2 binary64))))
(/ 2 (+ (+ x x) -4))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64)))
2
#s(literal 2 binary64)
(+ (+ x x) -4)
(+.f64 (+.f64 x x) #s(literal -4 binary64))
(+ x x)
(+.f64 x x)
x
-4
#s(literal -4 binary64)
(+ (+ x x) -2)
(+.f64 x (+.f64 x #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
(+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) x)
(+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(* x x)
(*.f64 x x)
x
(+ (* (* x x) -17/315) 2/15)
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
-17/315
#s(literal -17/315 binary64)
2/15
#s(literal 2/15 binary64)
-1/3
#s(literal -1/3 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))

localize185.0ms (2.1%)

Memory
-36.3MiB live, 295.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
✓accuracy99.9%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
✓accuracy100.0%
(+.f64 x x)
✓accuracy99.7%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64)))
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)))
✓accuracy55.2%
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy55.3%
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
✓accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
Samples
47.0ms134×0valid
36.0ms77×1valid
25.0ms38×2valid
5.0ms7×3valid
Compiler

Compiled 165 to 36 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 22.0ms (26.1% of total)
ival-div: 18.0ms (21.4% of total)
ival-add: 16.0ms (19% of total)
const: 13.0ms (15.4% of total)
adjust: 11.0ms (13.1% of total)
ival-sub: 4.0ms (4.7% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)>
#<alt (+ (* (* x x) 2/15) -1/3)>
#<alt (* x x)>
#<alt (* x (* x x))>
#<alt (- (+ (* x (+ (* x (* x -1/3)) 1)) 1) 1)>
#<alt (+ (* x (+ (* x (* x -1/3)) 1)) 1)>
#<alt (+ (* x (* x -1/3)) 1)>
#<alt (* x -1/3)>
#<alt (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2))>
#<alt (- (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) 1)>
#<alt (/ 2 (+ (+ x x) -4))>
#<alt (+ (+ x x) -4)>
#<alt (+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)>
#<alt (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3)>
#<alt (+ (* (* x x) -17/315) 2/15)>
#<alt (+ x x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))>
#<alt (* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* -1/4 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (- (* -1/8 x) 1/4)) 1/2)))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 x)))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 x)))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/4 x) 1/2))>
#<alt (* x (- (* x (- (* -1/8 x) 1/4)) 1/2))>
#<alt (* x (- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))>
#<alt -1/2>
#<alt (- (* -1/4 x) 1/2)>
#<alt (- (* x (- (* -1/8 x) 1/4)) 1/2)>
#<alt (- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 2 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) x))>
#<alt -4>
#<alt (- (* 2 x) 4)>
#<alt (- (* 2 x) 4)>
#<alt (- (* 2 x) 4)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 4 (/ 1 x))))>
#<alt (* x (- 2 (* 4 (/ 1 x))))>
#<alt (* x (- 2 (* 4 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 2)))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt 2/15>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (* -17/315 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+ (* (* x x) -17/315) 2/15)
1.0ms
x
@inf
(+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)
0.0ms
x
@-inf
(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)
0.0ms
x
@-inf
(- (+ (* x (+ (* x (* x -1/3)) 1)) 1) 1)
0.0ms
x
@inf
(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)

rewrite170.0ms (1.9%)

Memory
1.9MiB live, 272.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 414×accelerator-lowering-fma.f32
2 414×accelerator-lowering-fma.f64
1 264×*-lowering-*.f32
1 264×*-lowering-*.f64
838×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032140
1236134
02276115
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
16 → 410
Calls
Call 1
Inputs
(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)
(+ (* (* x x) 2/15) -1/3)
(* x x)
(* x (* x x))
(- (+ (* x (+ (* x (* x -1/3)) 1)) 1) 1)
(+ (* x (+ (* x (* x -1/3)) 1)) 1)
(+ (* x (* x -1/3)) 1)
(* x -1/3)
(* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2))
(- (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) 1)
(/ 2 (+ (+ x x) -4))
(+ (+ x x) -4)
(+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)
(+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3)
(+ (* (* x x) -17/315) 2/15)
(+ x x)
Outputs
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x (neg.f64 x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x (neg.f64 x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x (neg.f64 x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x (neg.f64 x))) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x (neg.f64 x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x (neg.f64 x))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/9 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/27 binary64)) (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))))
(*.f64 (fma.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x) #s(literal 0 binary64))
(+.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x))
(+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) x)
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (+.f64 x #s(literal 0 binary64)))
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 x #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) (+.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) (+.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x (+.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
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(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64)) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(fma.f64 (*.f64 x #s(literal -17/315 binary64)) x #s(literal 2/15 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64) (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) #s(literal -34/4725 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64)) #s(literal 8/3375 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64)) #s(literal 8/3375 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64) (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64)) #s(literal 8/3375 binary64)) (+.f64 #s(literal 4/225 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64)) (*.f64 (*.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64)) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64)) #s(literal 8/3375 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64) (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) #s(literal -34/4725 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))
(/.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))) (-.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64)) #s(literal 8/3375 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64) (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) #s(literal -34/4725 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))
(+.f64 x x)
(+.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x))
(+.f64 (*.f64 x (+.f64 x x)) (*.f64 x (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 x (+.f64 x x) (*.f64 x (+.f64 x x)))
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 (+.f64 x x) x (*.f64 (+.f64 x x) x))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x x) (+.f64 x x))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x x)) (*.f64 (*.f64 x x) (+.f64 x x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x x)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 x x))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x x)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (+.f64 x x) (*.f64 (*.f64 x x) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x x)) #s(literal -4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x x)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 0 binary64))
(pow.f64 (+.f64 x x) #s(literal 2 binary64))
(pow.f64 (+.f64 x x) #s(literal 3 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)))
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 (+.f64 x x) #s(literal -4 binary64))
(*.f64 (+.f64 x x) #s(literal -2 binary64))
(*.f64 #s(literal -4 binary64) (+.f64 x x))
(*.f64 #s(literal -2 binary64) (+.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) x)

simplify412.0ms (4.6%)

Memory
8.3MiB live, 606.8MiB allocated
Algorithm
1×egg-herbie
Rules
17 212×accelerator-lowering-fma.f32
17 212×accelerator-lowering-fma.f64
4 290×*-lowering-*.f32
4 290×*-lowering-*.f64
3 928×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711352
14321306
211871306
336741270
081341177
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/4 x) 1/2)))
(+ 1 (* x (- (* x (- (* -1/8 x) 1/4)) 1/2)))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))
(* -1/2 x)
(* x (- (* -1/4 x) 1/2))
(* x (- (* x (- (* -1/8 x) 1/4)) 1/2))
(* x (- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))
-1/2
(- (* -1/4 x) 1/2)
(- (* x (- (* -1/8 x) 1/4)) 1/2)
(- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2)
(/ 1 x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2)))) x)
(/ (+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2))))) x)
(/ 1 x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) x))
-4
(- (* 2 x) 4)
(- (* 2 x) 4)
(- (* 2 x) 4)
(* 2 x)
(* x (- 2 (* 4 (/ 1 x))))
(* x (- 2 (* 4 (/ 1 x))))
(* x (- 2 (* 4 (/ 1 x))))
(* 2 x)
(* -1 (* x (- (* 4 (/ 1 x)) 2)))
(* -1 (* x (- (* 4 (/ 1 x)) 2)))
(* -1 (* x (- (* 4 (/ 1 x)) 2)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(+ 2/15 (* -17/315 (pow x 2)))
(+ 2/15 (* -17/315 (pow x 2)))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
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eval89.0ms (1%)

Memory
7.2MiB live, 198.1MiB allocated
Compiler

Compiled 15 982 to 1 587 computations (90.1% saved)

prune104.0ms (1.2%)

Memory
-36.2MiB live, 186.4MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New7333736
Fresh303
Picked145
Done011
Total7378745
Accuracy
100.0%
Counts
745 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.0%
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
✓51.3%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
▶49.8%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
✓5.1%
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶5.1%
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) x) #s(literal 1 binary64))
✓51.9%
x
▶23.9%
#s(literal 1 binary64)
✓31.1%
#s(literal -1 binary64)
Compiler

Compiled 82 to 50 computations (39% saved)

simplify397.0ms (4.5%)

Memory
4.6MiB live, 471.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
✓cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))
✓cost-diff128
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) x)
✓cost-diff256
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) x) #s(literal 1 binary64))
Rules
11 018×accelerator-lowering-fma.f32
11 018×accelerator-lowering-fma.f64
2 842×+-lowering-+.f64
2 842×+-lowering-+.f32
2 314×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061
12761
25657
310553
413753
536253
6137153
7397553
8512953
9635953
10710553
11744653
12764553
13795453
0808149
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
1
(- (+ (+ 1 (* (* x (* x x)) -1/3)) x) 1)
(+ (+ 1 (* (* x (* x x)) -1/3)) x)
(+ 1 (* (* x (* x x)) -1/3))
1
(* (* x (* x x)) -1/3)
(* x (* x x))
x
(* x x)
-1/3
(+ (* (* x (* x x)) -1/3) x)
(* x (* x x))
x
(* x x)
-1/3
Outputs
1
#s(literal 1 binary64)
(- (+ (+ 1 (* (* x (* x x)) -1/3)) x) 1)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)
(+ (+ 1 (* (* x (* x x)) -1/3)) x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (* x (* x x)) -1/3))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (* x (* x x)) -1/3)
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
-1/3
#s(literal -1/3 binary64)
(+ (* (* x (* x x)) -1/3) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
-1/3
#s(literal -1/3 binary64)

localize55.0ms (0.6%)

Memory
1.4MiB live, 114.6MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) x)
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))
✓accuracy55.3%
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) x) #s(literal 1 binary64))
Samples
12.0ms134×0valid
12.0ms77×1valid
11.0ms45×2valid
Compiler

Compiled 72 to 13 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 5.0ms (24.8% of total)
ival-mult: 5.0ms (24.8% of total)
adjust: 4.0ms (19.8% of total)
const: 4.0ms (19.8% of total)
ival-sub: 2.0ms (9.9% 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
4.2MiB live, 4.2MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (- (+ (+ 1 (* (* x (* x x)) -1/3)) x) 1)>
#<alt (+ (+ 1 (* (* x (* x x)) -1/3)) x)>
#<alt (+ 1 (* (* x (* x x)) -1/3))>
#<alt (* (* x (* x x)) -1/3)>
#<alt (+ (* (* x (* x x)) -1/3) x)>
#<alt (* x (* x x))>
#<alt (* x x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))>
#<alt (* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 3)))>
#<alt (+ 1 (* -1/3 (pow x 3)))>
#<alt (+ 1 (* -1/3 (pow x 3)))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 3)))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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)>
Calls

21 calls:

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

rewrite589.0ms (6.6%)

Memory
14.6MiB live, 814.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
13 682×accelerator-lowering-fma.f32
13 682×accelerator-lowering-fma.f64
5 270×*-lowering-*.f32
5 270×*-lowering-*.f64
3 672×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01045
16945
263843
0853039
Stop Event
1×iter limit
1×node limit
Counts
7 → 578
Calls
Call 1
Inputs
(- (+ (+ 1 (* (* x (* x x)) -1/3)) x) 1)
(+ (+ 1 (* (* x (* x x)) -1/3)) x)
(+ 1 (* (* x (* x x)) -1/3))
(* (* x (* x x)) -1/3)
(+ (* (* x (* x x)) -1/3) x)
(* x (* x x))
(* x x)
Outputs
(+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal -1 binary64)))
(+.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 0 binary64)))
(+.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(+.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)))) (fma.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 2 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) x)
(+.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))
(+.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))
(+.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(-.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)))) (fma.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) (+.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)))))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))))))) (fma.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) x))) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) x)) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) x))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) x)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))))) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))))))))
(*.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64))) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) x)))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))))))))
(*.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64) (neg.f64 (neg.f64 x)))))
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify197.0ms (2.2%)

Memory
10.2MiB live, 282.4MiB allocated
Algorithm
1×egg-herbie
Rules
4 992×accelerator-lowering-fma.f32
4 992×accelerator-lowering-fma.f64
2 536×*-lowering-*.f32
2 536×*-lowering-*.f64
1 190×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038488
194436
2332436
31232436
43470436
55127436
67875436
08183401
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
1
(+ 1 (* -1/3 (pow x 3)))
(+ 1 (* -1/3 (pow x 3)))
(+ 1 (* -1/3 (pow x 3)))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 3)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 3)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 3)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 3)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 3)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 3)))))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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)
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 3)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 3)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 3)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 3)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 3) (- (/ 1 (pow x 3)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 3) (- (/ 1 (pow x 3)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 3)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 3)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 3)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval94.0ms (1.1%)

Memory
-18.6MiB live, 226.1MiB allocated
Compiler

Compiled 21 085 to 1 668 computations (92.1% saved)

prune88.0ms (1%)

Memory
14.4MiB live, 287.7MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New7021703
Fresh000
Picked123
Done055
Total7038711
Accuracy
100.0%
Counts
711 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.0%
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
✓51.3%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
✓49.8%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
✓5.1%
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
5.1%
(-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
✓51.9%
x
✓23.9%
#s(literal 1 binary64)
✓31.1%
#s(literal -1 binary64)
Compiler

Compiled 278 to 114 computations (59% saved)

regimes70.0ms (0.8%)

Memory
7.4MiB live, 125.3MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Outputs
#s(literal 1 binary64)
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
#s(literal -1 binary64)
Calls

7 calls:

32.0ms
y
10.0ms
(*.f64 #s(literal -2 binary64) x)
6.0ms
x
6.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
5.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
AccuracySegmentsBranch
100.0%3x
61.8%2y
100.0%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
100.0%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
100.0%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
100.0%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
100.0%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 47 to 39 computations (17% saved)

regimes97.0ms (1.1%)

Memory
-16.0MiB live, 63.5MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x)))) #s(literal 1 binary64))
Outputs
#s(literal 1 binary64)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
#s(literal -1 binary64)
Calls

6 calls:

55.0ms
x
22.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
6.0ms
(*.f64 #s(literal -2 binary64) x)
5.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
100.0%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
100.0%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
100.0%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
100.0%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes40.0ms (0.5%)

Memory
-0.3MiB live, 37.8MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
Outputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
#s(literal -1 binary64)
Calls

6 calls:

4.0ms
(*.f64 #s(literal -2 binary64) x)
4.0ms
x
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
AccuracySegmentsBranch
99.8%3x
99.8%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
99.8%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
99.8%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
99.8%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
99.8%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes12.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
#s(literal 1 binary64)
x
#s(literal -1 binary64)
Calls

6 calls:

2.0ms
x
2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
2.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.6%3x
99.6%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
99.6%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
99.6%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
99.6%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
99.6%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes71.0ms (0.8%)

Memory
-14.3MiB live, 23.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

7 calls:

62.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms
x
2.0ms
(*.f64 #s(literal -2 binary64) x)
1.0ms
y
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
35.7%3y
53.1%2x
52.5%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
52.5%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
52.5%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
52.5%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
53.1%2(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 47 to 39 computations (17% saved)

regimes9.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

1.0ms
(*.f64 #s(literal -2 binary64) x)
1.0ms
y
1.0ms
x
1.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
31.1%1y
31.1%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
31.1%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
31.1%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
31.1%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
31.1%1(*.f64 #s(literal -2 binary64) x)
31.1%1x
Compiler

Compiled 47 to 39 computations (17% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.003396305965991811
132170862.06506571
0.0ms
-53.06796486352196
-0.011914463506386141
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.003396305965991811
132170862.06506571
0.0ms
-53.06796486352196
-0.011914463506386141
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.003396305965991811
132170862.06506571
0.0ms
-53.06796486352196
-0.011914463506386141
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.003396305965991811
132170862.06506571
0.0ms
-53.06796486352196
-0.011914463506386141
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch75.0ms (0.8%)

Memory
-25.2MiB live, 76.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
72.0ms
-1.9595303947598637e-308
6.220614119334921e-307
Samples
68.0ms112×2valid
Compiler

Compiled 71 to 71 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-exp: 52.0ms (83% of total)
adjust: 3.0ms (4.8% of total)
ival-div: 3.0ms (4.8% of total)
ival-sub: 2.0ms (3.2% of total)
ival-add: 2.0ms (3.2% of total)
ival-mult: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify40.0ms (0.5%)

Memory
-19.2MiB live, 19.1MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031103
136103
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -50 binary64)) #s(literal 1 binary64) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -50 binary64)) #s(literal 1 binary64) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -50 binary64)) #s(literal 1 binary64) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -50 binary64)) #s(literal 1 binary64) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 binary64)) x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
Outputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -50 binary64)) #s(literal 1 binary64) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -50 binary64)) #s(literal 1 binary64) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -50 binary64)) #s(literal 1 binary64) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -50 binary64)) #s(literal 1 binary64) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 binary64)) x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness1.2s (13.7%)

Memory
34.0MiB live, 669.8MiB allocated
Rules
17 212×accelerator-lowering-fma.f32
17 212×accelerator-lowering-fma.f64
15 342×accelerator-lowering-fma.f32
15 342×accelerator-lowering-fma.f64
8 642×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071184
15831127
216281104
351531080
08342993
01711352
14321306
211871306
336741270
081341177
024110
1186110
0202091
049358
1119358
2234348
3604348
41194348
51764348
62024348
72599348
83669348
95745348
106685348
117091348
127233348
137295348
147337348
08101327
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 289 to 171 computations (40.8% saved)

preprocess48.0ms (0.5%)

Memory
-16.8MiB live, 141.9MiB allocated
Remove

(abs y)

Compiler

Compiled 302 to 124 computations (58.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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