Logistic function from Lakshay Garg

Time bar (total: 10.5s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample1.9s (17.6%)

Memory
-141.7MiB live, 2 272.1MiB allocated
Samples
540.0ms4 237×0valid
536.0ms1 676×2valid
467.0ms2 343×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-exp: 421.0ms (35.9% of total)
ival-mult: 358.0ms (30.5% of total)
ival-div: 145.0ms (12.3% of total)
ival-sub: 85.0ms (7.2% of total)
ival-add: 75.0ms (6.4% of total)
adjust: 65.0ms (5.5% of total)
exact: 16.0ms (1.4% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess30.0ms (0.3%)

Memory
-8.6MiB live, 34.2MiB 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)

explain159.0ms (1.5%)

Memory
2.4MiB live, 355.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1360-0-(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
01(163.63373263550486 1.2128137382653571e+213)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))cancellation1360
exp.f64(exp.f64 (*.f64 #s(literal -2 binary64) x))sensitivity10
Confusion
Predicted +Predicted -
+1360
-1119
Precision
0.9927007299270073
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13600
-10119
Precision?
0.9927007299270073
Recall?
1.0
Freqs
test
numberfreq
0119
1137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms124×2valid
23.0ms142×1valid
18.0ms246×0valid
Compiler

Compiled 98 to 44 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-exp: 24.0ms (43.5% of total)
ival-div: 8.0ms (14.5% of total)
ival-mult: 6.0ms (10.9% of total)
adjust: 5.0ms (9.1% of total)
ival-sub: 5.0ms (9.1% of total)
ival-add: 5.0ms (9.1% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.2%
(-.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)

simplify4.0ms (0%)

Memory
8.2MiB live, 8.2MiB 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

localize53.0ms (0.5%)

Memory
8.5MiB live, 85.3MiB 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))))
✓accuracy51.3%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Samples
20.0ms62×2valid
11.0ms71×1valid
8.0ms123×0valid
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-exp: 12.0ms (42.2% of total)
ival-div: 6.0ms (21.1% of total)
ival-mult: 3.0ms (10.5% of total)
adjust: 2.0ms (7% of total)
ival-sub: 2.0ms (7% of total)
ival-add: 2.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
7.0MiB live, 7.0MiB 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)
1.0ms
x
@inf
(/ 2 (+ 1 (exp (* -2 x))))
0.0ms
x
@-inf
(/ 2 (+ 1 (exp (* -2 x))))

rewrite335.0ms (3.2%)

Memory
-8.8MiB live, 465.9MiB 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 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #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 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #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 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #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 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #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 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #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 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #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 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (-.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (expm1.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #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 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #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 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal 1 binary64))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (/.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (expm1.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))) (fma.f64 (exp.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 0 binary64))) (expm1.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (expm1.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))) (fma.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))) (expm1.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (expm1.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (expm1.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (expm1.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (expm1.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 0 binary64)))))
(*.f64 (expm1.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) (-.f64 (-.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64))) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)))) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 0 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 0 binary64)))) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))
(exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) #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 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))) #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 (fma.f64 x #s(literal -4 binary64) #s(literal 0 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 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))
(*.f64 (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))) #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)))))

simplify460.0ms (4.4%)

Memory
-2.4MiB live, 536.8MiB 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 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #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) (fma.f64 x x #s(literal 0 binary64)) #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 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #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 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
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))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #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 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))
(exp (* -2 x))
(exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))
(exp (* -2 x))
(exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))
(exp (* -2 x))
(exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))
(exp (* -2 x))
(exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))
(exp (* -2 x))
(exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))
(exp (* -2 x))
(exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))
(exp (* -2 x))
(exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))

eval40.0ms (0.4%)

Memory
-16.6MiB live, 98.6MiB allocated
Compiler

Compiled 8 567 to 983 computations (88.5% saved)

prune48.0ms (0.5%)

Memory
30.9MiB live, 109.4MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3228330
Fresh000
Picked011
Done000
Total3229331
Accuracy
100.0%
Counts
331 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
▶54.9%
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
▶53.5%
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
▶51.2%
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))
▶4.8%
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
27.1%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
26.8%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
✓51.2%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶55.2%
x
Compiler

Compiled 252 to 158 computations (37.3% saved)

simplify449.0ms (4.3%)

Memory
16.7MiB live, 663.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))
✓cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64))
✓cost-diff0
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))
✓cost-diff0
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
✓cost-diff0
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff192
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
✓cost-diff0
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
Rules
14 344×accelerator-lowering-fma.f32
14 344×accelerator-lowering-fma.f64
3 618×*-lowering-*.f32
3 618×*-lowering-*.f64
3 388×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033182
179182
2206174
3520174
4914174
51696174
63857174
75610174
87822174
08085162
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
x
(+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 0)
x
(+ (* -1/3 (+ (* x x) 0)) 1)
-1/3
(+ (* x x) 0)
0
1
(- (+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 1) 1)
(+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 1)
x
(+ (* -1/3 (+ (* x x) 0)) 1)
-1/3
(+ (* x x) 0)
0
1
(+ (* x (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 2/15) -1/3)) 1)) 0)
x
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 2/15) -1/3)) 1)
(+ (* x x) 0)
0
(+ (* (+ (* x x) 0) 2/15) -1/3)
2/15
-1/3
1
(/ (+ (* 4 (pow (+ 1 (exp (+ (* -2 x) 0))) -2)) -1) (+ 1 (/ 2 (+ 1 (exp (+ (* -2 x) 0))))))
(+ (* 4 (pow (+ 1 (exp (+ (* -2 x) 0))) -2)) -1)
4
(pow (+ 1 (exp (+ (* -2 x) 0))) -2)
(+ 1 (exp (+ (* -2 x) 0)))
1
(exp (+ (* -2 x) 0))
(+ (* -2 x) 0)
-2
x
0
-1
(+ 1 (/ 2 (+ 1 (exp (+ (* -2 x) 0)))))
(/ 2 (+ 1 (exp (+ (* -2 x) 0))))
2
Outputs
x
(+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 0)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* -1/3 (+ (* x x) 0)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
-1/3
#s(literal -1/3 binary64)
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(- (+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 1) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(+ (* -1/3 (+ (* x x) 0)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
-1/3
#s(literal -1/3 binary64)
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(+ (* x (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 2/15) -1/3)) 1)) 0)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 2/15) -1/3)) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* (+ (* x x) 0) 2/15) -1/3)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
2/15
#s(literal 2/15 binary64)
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 binary64)
(/ (+ (* 4 (pow (+ 1 (exp (+ (* -2 x) 0))) -2)) -1) (+ 1 (/ 2 (+ 1 (exp (+ (* -2 x) 0))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))))
(+ (* 4 (pow (+ 1 (exp (+ (* -2 x) 0))) -2)) -1)
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64))
4
#s(literal 4 binary64)
(pow (+ 1 (exp (+ (* -2 x) 0))) -2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal -2 binary64))
(+ 1 (exp (+ (* -2 x) 0)))
(+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(exp (+ (* -2 x) 0))
(exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))
(+ (* -2 x) 0)
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
x
0
#s(literal 0 binary64)
-1
#s(literal -1 binary64)
(+ 1 (/ 2 (+ 1 (exp (+ (* -2 x) 0)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))))
(/ 2 (+ 1 (exp (+ (* -2 x) 0))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))
2
#s(literal 2 binary64)

localize226.0ms (2.1%)

Memory
7.2MiB live, 393.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))))
✓accuracy100.0%
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64))
✓accuracy51.3%
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
✓accuracy99.9%
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
✓accuracy51.3%
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
✓accuracy99.9%
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
✓accuracy99.9%
(fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
Samples
81.0ms62×2valid
39.0ms71×1valid
37.0ms123×0valid
Compiler

Compiled 198 to 36 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-sub: 29.0ms (22.7% of total)
ival-mult: 26.0ms (20.4% of total)
ival-add: 21.0ms (16.5% of total)
ival-exp: 20.0ms (15.7% of total)
adjust: 10.0ms (7.8% of total)
const: 9.0ms (7.1% of total)
ival-pow: 6.0ms (4.7% of total)
ival-div: 5.0ms (3.9% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
-8.5MiB live, 30.2MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 0)>
#<alt (+ (* -1/3 (+ (* x x) 0)) 1)>
#<alt (+ (* x x) 0)>
#<alt (- (+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 1) 1)>
#<alt (+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 1)>
#<alt (+ (* x (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 2/15) -1/3)) 1)) 0)>
#<alt (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 2/15) -1/3)) 1)>
#<alt (+ (* (+ (* x x) 0) 2/15) -1/3)>
#<alt (/ (+ (* 4 (pow (+ 1 (exp (+ (* -2 x) 0))) -2)) -1) (+ 1 (/ 2 (+ 1 (exp (+ (* -2 x) 0))))))>
#<alt (+ (* 4 (pow (+ 1 (exp (+ (* -2 x) 0))) -2)) -1)>
#<alt (pow (+ 1 (exp (+ (* -2 x) 0))) -2)>
#<alt (+ 1 (exp (+ (* -2 x) 0)))>
#<alt (+ 1 (/ 2 (+ 1 (exp (+ (* -2 x) 0)))))>
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 (* -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 (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 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 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>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<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 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 (/ (- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x))))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x))))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x))))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x))))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 (* x (+ 1 (* -2/3 x)))))>
#<alt (* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3))))))>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt 1/4>
#<alt (+ 1/4 (* 1/2 x))>
#<alt (+ 1/4 (* x (+ 1/2 (* 1/4 x))))>
#<alt (+ 1/4 (* x (+ 1/2 (* x (+ 1/4 (* -1/6 x))))))>
#<alt (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (+ 1 (exp (neg (* 2 x))))>
#<alt (+ 1 (exp (neg (* 2 x))))>
#<alt (+ 1 (exp (neg (* 2 x))))>
#<alt (+ 1 (exp (neg (* 2 x))))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 2 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x)))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x)))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x)))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x)))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
Calls

39 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/ (+ (* 4 (pow (+ 1 (exp (+ (* -2 x) 0))) -2)) -1) (+ 1 (/ 2 (+ 1 (exp (+ (* -2 x) 0))))))
3.0ms
x
@inf
(/ (+ (* 4 (pow (+ 1 (exp (+ (* -2 x) 0))) -2)) -1) (+ 1 (/ 2 (+ 1 (exp (+ (* -2 x) 0))))))
2.0ms
x
@0
(/ (+ (* 4 (pow (+ 1 (exp (+ (* -2 x) 0))) -2)) -1) (+ 1 (/ 2 (+ 1 (exp (+ (* -2 x) 0))))))
1.0ms
x
@0
(+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 0)
1.0ms
x
@-inf
(+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 0)

rewrite627.0ms (5.9%)

Memory
0.6MiB live, 1 220.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 134×accelerator-lowering-fma.f32
8 134×accelerator-lowering-fma.f64
4 834×/-lowering-/.f32
4 834×/-lowering-/.f64
4 398×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033133
1233121
22452113
09284103
Stop Event
1×iter limit
1×node limit
Counts
13 → 1 467
Calls
Call 1
Inputs
(+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 0)
(+ (* -1/3 (+ (* x x) 0)) 1)
(+ (* x x) 0)
(- (+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 1) 1)
(+ (* x (+ (* -1/3 (+ (* x x) 0)) 1)) 1)
(+ (* x (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 2/15) -1/3)) 1)) 0)
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 2/15) -1/3)) 1)
(+ (* (+ (* x x) 0) 2/15) -1/3)
(/ (+ (* 4 (pow (+ 1 (exp (+ (* -2 x) 0))) -2)) -1) (+ 1 (/ 2 (+ 1 (exp (+ (* -2 x) 0))))))
(+ (* 4 (pow (+ 1 (exp (+ (* -2 x) 0))) -2)) -1)
(pow (+ 1 (exp (+ (* -2 x) 0))) -2)
(+ 1 (exp (+ (* -2 x) 0)))
(+ 1 (/ 2 (+ 1 (exp (+ (* -2 x) 0)))))
Outputs
(+.f64 x (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 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 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #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 -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 (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x)
(+.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 x #s(literal 0 binary64)))
(+.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x)
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))))
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))) #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))))
(-.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)) (-.f64 #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 #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)) (-.f64 #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 (*.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))) (-.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 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 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x)))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 x #s(literal 0 binary64)))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 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 #s(literal -1/3 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (-.f64 x #s(literal 0 binary64)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal -1/3 binary64) x) (+.f64 x #s(literal 0 binary64)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal -1/3 binary64) x) (-.f64 x #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x x)
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x (+.f64 x #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x (-.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #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 0 binary64)) #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 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #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 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #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 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64)) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))) #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 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))))))

simplify436.0ms (4.1%)

Memory
-15.2MiB live, 549.5MiB allocated
Algorithm
1×egg-herbie
Rules
13 528×accelerator-lowering-fma.f32
13 528×accelerator-lowering-fma.f64
3 970×*-lowering-*.f32
3 970×*-lowering-*.f64
2 328×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361380
13611312
29051312
325871312
084071222
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
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 (* -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))
(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)
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))))))
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
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
-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)))))
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))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x))))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x))))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x))))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x))))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 (* x (+ 1 (* -2/3 x)))))
(* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3))))))
(- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
1/4
(+ 1/4 (* 1/2 x))
(+ 1/4 (* x (+ 1/2 (* 1/4 x))))
(+ 1/4 (* x (+ 1/2 (* x (+ 1/4 (* -1/6 x))))))
(/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))
(/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))
(/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))
(/ 1 (pow (+ 1 (exp (neg (* 2 x)))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (neg (* 2 x))))
(+ 1 (exp (neg (* 2 x))))
(+ 1 (exp (neg (* 2 x))))
(+ 1 (exp (neg (* 2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 2 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x)))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x)))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 2 x)))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (neg (* 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))))))
Outputs
x
(* 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 0 binary64))
(* 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 0 binary64))
(* 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 0 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 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 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 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* 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 0 binary64))
(* 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 0 binary64))
(* 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 0 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 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 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 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 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 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 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))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
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(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))))

eval308.0ms (2.9%)

Memory
11.8MiB live, 432.4MiB allocated
Compiler

Compiled 74 844 to 3 561 computations (95.2% saved)

prune242.0ms (2.3%)

Memory
12.0MiB live, 441.7MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1 96351 968
Fresh123
Picked325
Done011
Total1 967101 977
Accuracy
100.0%
Counts
1 977 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.2%
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))
▶4.8%
(-.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))
27.1%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
▶26.8%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
✓51.2%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶4.7%
(-.f64 (-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶53.5%
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
53.7%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
▶54.9%
(*.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)))
✓55.2%
x
Compiler

Compiled 233 to 154 computations (33.9% saved)

simplify353.0ms (3.4%)

Memory
35.1MiB live, 548.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓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 2 binary64))
✓cost-diff192
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
✓cost-diff192
(-.f64 (-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff-64
(*.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 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64))
✓cost-diff192
(-.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))
✓cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
✓cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
✓cost-diff-64
(*.f64 x #s(literal -1/3 binary64))
✓cost-diff-64
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓cost-diff-64
(*.f64 x x)
✓cost-diff-64
(*.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)))
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
Rules
9 112×accelerator-lowering-fma.f32
9 112×accelerator-lowering-fma.f64
3 748×+-lowering-+.f64
3 748×+-lowering-+.f32
3 474×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026167
175167
2174153
3455153
41341153
53129153
65331153
76522153
87653153
08001136
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (* (* x x) (+ (* (* x x) 2/15) -1/3)) 1))
x
(+ (* (* x x) (+ (* (* x x) 2/15) -1/3)) 1)
(* x x)
(+ (* (* x x) 2/15) -1/3)
2/15
-1/3
1
(* (+ (* x (* x -1/3)) 1) x)
(+ (* x (* x -1/3)) 1)
x
(* x -1/3)
-1/3
1
(- (/ 2 (+ (* x -2) 2)) 1)
(/ 2 (+ (* x -2) 2))
2
(+ (* x -2) 2)
x
-2
1
(- (+ (* (+ (* x (* x -1/3)) 1) x) 1) 1)
(+ (* (+ (* x (* x -1/3)) 1) x) 1)
(+ (* x (* x -1/3)) 1)
x
(* x -1/3)
-1/3
1
(- (- (+ (* x (+ (* x (* x -1/3)) 1)) 2) 1) 1)
(- (+ (* x (+ (* x (* x -1/3)) 1)) 2) 1)
(+ (* x (+ (* x (* x -1/3)) 1)) 2)
x
(+ (* x (* x -1/3)) 1)
(* x -1/3)
-1/3
1
2
Outputs
(* x (+ (* (* x x) (+ (* (* x x) 2/15) -1/3)) 1))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/15 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* (* x x) (+ (* (* x x) 2/15) -1/3)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/15 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* (* x x) 2/15) -1/3)
(fma.f64 x (fma.f64 x #s(literal 2/15 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
2/15
#s(literal 2/15 binary64)
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 binary64)
(* (+ (* x (* x -1/3)) 1) x)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (* x -1/3)) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))
x
(* x -1/3)
(fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64))
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 binary64)
(- (/ 2 (+ (* x -2) 2)) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(/ 2 (+ (* x -2) 2))
(/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ (* x -2) 2)
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
x
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
(- (+ (* (+ (* x (* x -1/3)) 1) x) 1) 1)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* (+ (* x (* x -1/3)) 1) x) 1)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ (* x (* x -1/3)) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))
x
(* x -1/3)
(fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64))
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 binary64)
(- (- (+ (* x (+ (* x (* x -1/3)) 1)) 2) 1) 1)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(- (+ (* x (+ (* x (* x -1/3)) 1)) 2) 1)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ (* x (+ (* x (* x -1/3)) 1)) 2)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
x
(+ (* x (* x -1/3)) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(* x -1/3)
(fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64))
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)

localize182.0ms (1.7%)

Memory
18.2MiB live, 266.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓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 2 binary64))
✓accuracy99.4%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy51.3%
(-.f64 (-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 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 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64))
✓accuracy99.4%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy51.3%
(-.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))
✓accuracy100.0%
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
✓accuracy51.3%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #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%
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
✓accuracy99.4%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.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)))
✓accuracy100.0%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
Samples
61.0ms123×0valid
36.0ms62×2valid
28.0ms71×1valid
Compiler

Compiled 159 to 29 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 57.0ms (56.9% of total)
ival-add: 15.0ms (15% of total)
const: 9.0ms (9% of total)
ival-sub: 8.0ms (8% of total)
adjust: 7.0ms (7% of total)
ival-div: 3.0ms (3% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (+ (* (* x x) (+ (* (* x x) 2/15) -1/3)) 1)>
#<alt (+ (* (* x x) 2/15) -1/3)>
#<alt (* x (+ (* (* x x) (+ (* (* x x) 2/15) -1/3)) 1))>
#<alt (* x x)>
#<alt (+ (* x (* x -1/3)) 1)>
#<alt (* (+ (* x (* x -1/3)) 1) x)>
#<alt (* x -1/3)>
#<alt (- (/ 2 (+ (* x -2) 2)) 1)>
#<alt (/ 2 (+ (* x -2) 2))>
#<alt (+ (* x -2) 2)>
#<alt (- (+ (* (+ (* x (* x -1/3)) 1) x) 1) 1)>
#<alt (+ (* (+ (* x (* x -1/3)) 1) x) 1)>
#<alt (- (- (+ (* x (+ (* x (* x -1/3)) 1)) 2) 1) 1)>
#<alt (- (+ (* x (+ (* x (* x -1/3)) 1)) 2) 1)>
#<alt (+ (* x (+ (* x (* x -1/3)) 1)) 2)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<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 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<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 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 (* -1/3 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 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 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 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 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 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 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 2 (* 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)) (/ 2 (pow x 3))) 1/3))>
#<alt (* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 2 (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 (* 2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (* 2 (/ 1 x))) (pow x 2))))))>
Calls

45 calls:

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

rewrite439.0ms (4.2%)

Memory
-30.7MiB live, 919.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 684×*-lowering-*.f32
5 684×*-lowering-*.f64
4 132×accelerator-lowering-fma.f32
4 132×accelerator-lowering-fma.f64
3 942×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026129
1202129
21679115
08156100
Stop Event
1×iter limit
1×node limit
Counts
15 → 795
Calls
Call 1
Inputs
(+ (* (* x x) (+ (* (* x x) 2/15) -1/3)) 1)
(+ (* (* x x) 2/15) -1/3)
(* x (+ (* (* x x) (+ (* (* x x) 2/15) -1/3)) 1))
(* x x)
(+ (* x (* x -1/3)) 1)
(* (+ (* x (* x -1/3)) 1) x)
(* x -1/3)
(- (/ 2 (+ (* x -2) 2)) 1)
(/ 2 (+ (* x -2) 2))
(+ (* x -2) 2)
(- (+ (* (+ (* x (* x -1/3)) 1) x) 1) 1)
(+ (* (+ (* x (* x -1/3)) 1) x) 1)
(- (- (+ (* x (+ (* x (* x -1/3)) 1)) 2) 1) 1)
(- (+ (* x (+ (* x (* x -1/3)) 1)) 2) 1)
(+ (* x (+ (* x (* x -1/3)) 1)) 2)
Outputs
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.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))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2/15 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 2/15 binary64) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) x) x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (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)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (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)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (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)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (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)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (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)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (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)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (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)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (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)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.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))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (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)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
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(*.f64 (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) x) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) x) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))

simplify440.0ms (4.2%)

Memory
4.3MiB live, 754.9MiB allocated
Algorithm
1×egg-herbie
Rules
15 054×accelerator-lowering-fma.f32
15 054×accelerator-lowering-fma.f64
3 668×*-lowering-*.f32
3 668×*-lowering-*.f64
2 378×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051314
12871186
28641182
329291164
468741164
081031067
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
-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)))))
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))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 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))
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)))))
(* -1/3 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)
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)
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))
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)))))
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))))))
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))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 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)) (/ 2 (pow x 3))) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 2 (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 (* 2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (* 2 (/ 1 x))) (pow x 2))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
x
(* 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 0 binary64))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* 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)))))
(fma.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64))
(* 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)))
(fma.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(fma.f64 (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(fma.f64 (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
x
(* 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 0 binary64))
(* 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 0 binary64))
(* 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 0 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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(* 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) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x 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) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 x)))
(fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(fma.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 0 binary64))
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))
x
(* 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 0 binary64))
(* 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 0 binary64))
(* 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 0 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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
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 #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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 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))
(* (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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 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 (* (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))
x
(* 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 0 binary64))
(* 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 0 binary64))
(* 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 0 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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
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 #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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 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))
(* (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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 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 (* (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))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 (* 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 2 binary64))
(+ 2 (* 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 2 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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 2 (pow x 3))) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 2 (pow x 3))) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 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 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (* 2 (/ 1 x))) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (* 2 (/ 1 x))) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))

eval460.0ms (4.4%)

Memory
5.2MiB live, 193.8MiB allocated
Compiler

Compiled 30 718 to 1 665 computations (94.6% saved)

prune276.0ms (2.6%)

Memory
-9.3MiB live, 164.4MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1 10141 105
Fresh112
Picked325
Done033
Total1 105101 115
Accuracy
100.0%
Counts
1 115 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.2%
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))
▶4.7%
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
✓51.2%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶6.5%
(-.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶4.8%
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) x) #s(literal 1 binary64))
✓53.5%
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
▶53.7%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
✓54.9%
(*.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)))
✓55.2%
x
▶24.9%
#s(literal -1 binary64)
Compiler

Compiled 186 to 126 computations (32.3% saved)

simplify474.0ms (4.5%)

Memory
3.1MiB live, 512.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓cost-diff192
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
✓cost-diff192
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) x)
✓cost-diff192
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) x) #s(literal 1 binary64))
✓cost-diff-64
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff192
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(+.f64 x #s(literal 2 binary64))
✓cost-diff192
(-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
✓cost-diff384
(-.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff-64
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
Rules
11 238×accelerator-lowering-fma.f32
11 238×accelerator-lowering-fma.f64
4 834×+-lowering-+.f64
4 834×+-lowering-+.f32
2 898×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030167
196163
2243149
3698149
43551149
54919149
67550149
08467134
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)) 1))
x
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)) 1)
(* x x)
(+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)
(+ (* x (* x -17/315)) 2/15)
(* x -17/315)
-17/315
2/15
-1/3
1
-1
(- (- (+ x 2) 1) 1)
(- (+ x 2) 1)
(+ x 2)
x
2
1
(- (+ (* x (+ (* (* x x) -1/3) 1)) 2) 2)
(+ (* x (+ (* (* x x) -1/3) 1)) 2)
x
(+ (* (* x x) -1/3) 1)
(* x x)
-1/3
1
2
(- (+ (+ 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 -1/3))
(* x -1/3)
-1/3
Outputs
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)) 1))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(+ (* x (* x -17/315)) 2/15)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(* x -17/315)
(fma.f64 x #s(literal -17/315 binary64) #s(literal 0 binary64))
-17/315
#s(literal -17/315 binary64)
2/15
#s(literal 2/15 binary64)
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
(- (- (+ x 2) 1) 1)
x
(- (+ x 2) 1)
(+.f64 x #s(literal 1 binary64))
(+ x 2)
(+.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(- (+ (* x (+ (* (* x x) -1/3) 1)) 2) 2)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (+ (* (* x x) -1/3) 1)) 2)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
x
(+ (* (* x x) -1/3) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(- (+ (+ 1 (* x (* x (* x -1/3)))) x) 1)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (+ 1 (* x (* x (* x -1/3)))) x)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (* x (* x -1/3))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* x (* x (* x -1/3)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* x (* x -1/3))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x -1/3)
(fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64))
-1/3
#s(literal -1/3 binary64)

localize149.0ms (1.4%)

Memory
-37.0MiB live, 279.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
✓accuracy99.4%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy51.3%
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) x) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓accuracy51.1%
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
✓accuracy51.3%
(-.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓accuracy99.9%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
✓accuracy99.5%
(*.f64 x #s(literal -17/315 binary64))
Samples
43.0ms62×2valid
35.0ms71×1valid
28.0ms123×0valid
Compiler

Compiled 167 to 33 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
const: 23.0ms (29.6% of total)
ival-mult: 23.0ms (29.6% of total)
ival-add: 15.0ms (19.3% of total)
adjust: 8.0ms (10.3% of total)
ival-sub: 8.0ms (10.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)) 1)>
#<alt (+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)>
#<alt (+ (* x (* x -17/315)) 2/15)>
#<alt (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)) 1))>
#<alt (- (- (+ x 2) 1) 1)>
#<alt (- (+ x 2) 1)>
#<alt (+ x 2)>
#<alt (- (+ (* x (+ (* (* x x) -1/3) 1)) 2) 2)>
#<alt (+ (* x (+ (* (* x x) -1/3) 1)) 2)>
#<alt (+ (* (* x x) -1/3) 1)>
#<alt (* x x)>
#<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 -17/315)>
#<alt (* x -1/3)>
#<alt (* x (* x -1/3))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<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 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 x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<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 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 2 (* 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)) (/ 2 (pow x 3))) 1/3))>
#<alt (* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 2 (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 (* 2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (* 2 (/ 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 (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 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 (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)) 1))
0.0ms
x
@inf
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)) 1)
0.0ms
x
@inf
(* x -17/315)
0.0ms
x
@0
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)) 1)
0.0ms
x
@-inf
(* x -17/315)

rewrite452.0ms (4.3%)

Memory
-0.9MiB live, 829.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 970×*-lowering-*.f32
5 970×*-lowering-*.f64
3 698×accelerator-lowering-fma.f32
3 698×accelerator-lowering-fma.f64
3 478×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029154
1231136
22120136
08340121
Stop Event
1×iter limit
1×node limit
Counts
18 → 498
Calls
Call 1
Inputs
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)) 1)
(+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)
(+ (* x (* x -17/315)) 2/15)
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -17/315)) 2/15)) -1/3)) 1))
(- (- (+ x 2) 1) 1)
(- (+ x 2) 1)
(+ x 2)
(- (+ (* x (+ (* (* x x) -1/3) 1)) 2) 2)
(+ (* x (+ (* (* x x) -1/3) 1)) 2)
(+ (* (* x x) -1/3) 1)
(* x x)
(- (+ (+ 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 -17/315)
(* x -1/3)
(* x (* x -1/3))
Outputs
(+.f64 (*.f64 x (*.f64 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)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
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(pow.f64 (/.f64 (fma.f64 x (-.f64 x (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)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (fma.f64 (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)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x) (*.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (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)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (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)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))))))
(*.f64 (*.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))
(*.f64 x #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) x)
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(*.f64 x (*.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal -1/3 binary64)) x)

simplify445.0ms (4.2%)

Memory
-10.6MiB live, 745.5MiB allocated
Algorithm
1×egg-herbie
Rules
11 014×accelerator-lowering-fma.f32
11 014×accelerator-lowering-fma.f64
3 156×*-lowering-*.f32
3 156×*-lowering-*.f64
2 502×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061346
12791272
28901272
330821264
468871264
083711178
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
-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))
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))))))
x
x
x
x
x
x
x
x
x
x
x
x
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
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)))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 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)) (/ 2 (pow x 3))) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 2 (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 (* 2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (* 2 (/ 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))
(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)
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))
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(fma.f64 (*.f64 x x) (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)) #s(literal 1 binary64))
(* -17/315 (pow x 6))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
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(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)))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))

eval97.0ms (0.9%)

Memory
27.5MiB live, 227.0MiB allocated
Compiler

Compiled 18 395 to 1 626 computations (91.2% saved)

prune92.0ms (0.9%)

Memory
5.0MiB live, 241.8MiB allocated
Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New74410754
Fresh000
Picked235
Done055
Total74618764
Accuracy
100.0%
Counts
764 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
✓51.2%
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))
5.0%
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))))
6.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
✓4.7%
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
6.4%
(-.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓51.2%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
5.5%
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
4.3%
(-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
4.8%
(-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
6.5%
(-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
4.3%
(-.f64 x #s(literal 1 binary64))
✓53.5%
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
53.7%
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
✓53.7%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
✓54.9%
(*.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)))
✓55.2%
x
✓24.9%
#s(literal -1 binary64)
Compiler

Compiled 655 to 272 computations (58.5% saved)

regimes61.0ms (0.6%)

Memory
-4.2MiB live, 111.3MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 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 (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 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 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) x) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
(*.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)))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 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 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))
Outputs
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(literal -1 binary64)
Calls

7 calls:

13.0ms
y
10.0ms
(*.f64 #s(literal -2 binary64) x)
8.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
8.0ms
x
7.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
100.0%3x
64.3%5y
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)

regimes57.0ms (0.5%)

Memory
-38.6MiB live, 136.5MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 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 (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 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 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) x) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
(*.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)))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
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 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(literal -1 binary64)
Calls

6 calls:

10.0ms
(*.f64 #s(literal -2 binary64) x)
8.0ms
x
7.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
7.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.0ms
(/.f64 #s(literal 2 binary64) (+.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)

regimes81.0ms (0.8%)

Memory
9.4MiB live, 86.1MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 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 (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 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 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) x) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
(*.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)))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))))
Outputs
(*.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)
Calls

6 calls:

32.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
21.0ms
x
7.0ms
(*.f64 #s(literal -2 binary64) x)
6.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
6.0ms
(-.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
76.8%2x
76.8%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
76.8%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
76.8%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
76.8%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
76.8%2(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes41.0ms (0.4%)

Memory
5.4MiB live, 79.1MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 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 (fma.f64 #s(literal -1/3 binary64) (fma.f64 x x #s(literal 0 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 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) x) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
Outputs
x
#s(literal -1 binary64)
Calls

6 calls:

12.0ms
(*.f64 #s(literal -2 binary64) x)
9.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
5.0ms
x
5.0ms
(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))
Results
AccuracySegmentsBranch
76.7%2(*.f64 #s(literal -2 binary64) x)
76.7%2x
76.7%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
76.7%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
76.7%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
76.7%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes9.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB 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
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
24.9%1y
24.9%1x
24.9%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
24.9%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
24.9%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
24.9%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
24.9%1(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 47 to 39 computations (17% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.008609602590719601
6374985596755.245
0.0ms
-0.3163149587065116
-0.0006737880492798847
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.008609602590719601
6374985596755.245
0.0ms
-0.3163149587065116
-0.0006737880492798847
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.008646771813273
+inf
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.008609602590719601
6374985596755.245
Compiler

Compiled 15 to 15 computations (0% saved)

simplify10.0ms (0.1%)

Memory
-19.9MiB live, 19.3MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
10×+-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042126
153126
256126
361126
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/18014398509481984 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (*.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))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/576460752303423488 binary64)) x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/18014398509481984 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (*.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))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/576460752303423488 binary64)) x #s(literal -1 binary64))
#s(literal -1 binary64)

soundness1.1s (10.1%)

Memory
15.1MiB live, 655.0MiB allocated
Rules
15 342×accelerator-lowering-fma.f32
15 342×accelerator-lowering-fma.f64
15 054×accelerator-lowering-fma.f32
15 054×accelerator-lowering-fma.f64
13 528×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361380
13611312
29051312
325871312
084071222
0928
14828
236628
3597128
0813728
01051314
12871186
28641182
329291164
468741164
081031067
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×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 275 to 149 computations (45.8% saved)

preprocess45.0ms (0.4%)

Memory
-11.8MiB live, 107.1MiB allocated
Remove

(abs y)

Compiler

Compiled 394 to 170 computations (56.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...