Logistic function from Lakshay Garg

Time bar (total: 8.3s)

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 12 to 12 computations (0% saved)

sample1.6s (19.6%)

Memory
40.3MiB live, 2 121.5MiB allocated
Samples
542.0ms2 476×1valid
431.0ms1 308×2valid
248.0ms4 267×0valid
89.0ms205×3valid
Precisions
Click to see histograms. Total time spent on operations: 890.0ms
ival-exp: 442.0ms (49.7% of total)
ival-div: 103.0ms (11.6% of total)
ival-mult: 97.0ms (10.9% of total)
ival-add: 82.0ms (9.2% of total)
adjust: 72.0ms (8.1% of total)
ival-sub: 70.0ms (7.9% of total)
exact: 15.0ms (1.7% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess28.0ms (0.3%)

Memory
4.7MiB live, 43.6MiB 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)

explain227.0ms (2.7%)

Memory
2.9MiB live, 201.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-0-(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
02(-227.37204552675038 1.0966049503450755e+233)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))cancellation1330
exp.f64(exp.f64 (*.f64 #s(literal -2 binary64) x))sensitivity20
Confusion
Predicted +Predicted -
+1330
-2121
Precision
0.9851851851851852
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13300
-20121
Precision?
0.9851851851851852
Recall?
1.0
Freqs
test
numberfreq
0121
1135
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms78×2valid
23.0ms158×1valid
18.0ms260×0valid
8.0ms16×3valid
Compiler

Compiled 98 to 44 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-exp: 53.0ms (66.1% of total)
ival-mult: 7.0ms (8.7% of total)
ival-div: 6.0ms (7.5% of total)
adjust: 4.0ms (5% of total)
ival-sub: 4.0ms (5% of total)
ival-add: 4.0ms (5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.3%
(-.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
6.7MiB live, 6.7MiB 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

localize57.0ms (0.7%)

Memory
-27.2MiB live, 57.3MiB 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))))
✓accuracy53.3%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Samples
18.0ms39×2valid
12.0ms79×1valid
8.0ms130×0valid
4.0ms8×3valid
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-exp: 18.0ms (58.4% of total)
ival-div: 3.0ms (9.7% of total)
ival-mult: 3.0ms (9.7% of total)
adjust: 2.0ms (6.5% of total)
ival-sub: 2.0ms (6.5% of total)
ival-add: 2.0ms (6.5% 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)
0.0ms
x
@-inf
(/ 2 (+ 1 (exp (* -2 x))))
0.0ms
x
@inf
(/ 2 (+ 1 (exp (* -2 x))))

rewrite369.0ms (4.4%)

Memory
42.2MiB live, 511.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 790×accelerator-lowering-fma.f32
3 790×accelerator-lowering-fma.f64
3 628×*-lowering-*.f32
3 628×*-lowering-*.f64
2 806×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify418.0ms (5%)

Memory
-2.4MiB live, 598.0MiB allocated
Algorithm
1×egg-herbie
Rules
15 342×accelerator-lowering-fma.f32
15 342×accelerator-lowering-fma.f64
3 260×*-lowering-*.f32
3 260×*-lowering-*.f64
1 930×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval38.0ms (0.5%)

Memory
-0.2MiB live, 75.9MiB allocated
Compiler

Compiled 7 804 to 984 computations (87.4% saved)

prune59.0ms (0.7%)

Memory
-57.4MiB live, 103.0MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3246330
Fresh000
Picked011
Done000
Total3247331
Accuracy
100.0%
Counts
331 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.3%
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
27.0%
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
▶28.1%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
▶27.7%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
▶26.8%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓53.3%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶54.1%
x
Compiler

Compiled 158 to 114 computations (27.8% saved)

simplify303.0ms (3.6%)

Memory
22.4MiB live, 442.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓cost-diff0
(+.f64 #s(literal -2 binary64) (+.f64 x x))
✓cost-diff0
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓cost-diff192
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 x x)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x x))
✓cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓cost-diff192
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
Rules
12 092×accelerator-lowering-fma.f32
12 092×accelerator-lowering-fma.f64
2 324×*-lowering-*.f32
2 324×*-lowering-*.f64
2 090×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027152
173152
2160152
3305152
4737152
51800144
64559144
76361144
87205144
97548144
107840144
08015125
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
x
(+ (* -1/3 (* x (* x x))) x)
-1/3
(* x (* x x))
x
(* x x)
(- (/ 2 (- 2 (+ x x))) 1)
(/ 2 (- 2 (+ x x)))
2
(- 2 (+ x x))
(+ x x)
x
1
(- (/ 2 (+ (* x (+ -2 (+ x x))) 2)) 1)
(/ 2 (+ (* x (+ -2 (+ x x))) 2))
2
(+ (* x (+ -2 (+ x x))) 2)
x
(+ -2 (+ x x))
-2
(+ x x)
1
(- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)
(/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2))
2
(+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)
x
(+ (* x (+ (* x -4/3) 2)) -2)
(+ (* x -4/3) 2)
-4/3
-2
1
Outputs
x
(+ (* -1/3 (* x (* x x))) x)
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
-1/3
#s(literal -1/3 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(- (/ 2 (- 2 (+ x x))) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/ 2 (- 2 (+ x x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
2
#s(literal 2 binary64)
(- 2 (+ x x))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+ x x)
(+.f64 x x)
x
1
#s(literal 1 binary64)
(- (/ 2 (+ (* x (+ -2 (+ x x))) 2)) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/ 2 (+ (* x (+ -2 (+ x x))) 2))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
2
#s(literal 2 binary64)
(+ (* x (+ -2 (+ x x))) 2)
(fma.f64 x (+.f64 x (+.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
x
(+ -2 (+ x x))
(+.f64 x (+.f64 x #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(+ x x)
(+.f64 x x)
1
#s(literal 1 binary64)
(- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
x
(+ (* x (+ (* x -4/3) 2)) -2)
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(+ (* x -4/3) 2)
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
-4/3
#s(literal -4/3 binary64)
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)

localize185.0ms (2.2%)

Memory
13.7MiB live, 240.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
✓accuracy99.8%
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
✓accuracy99.7%
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
✓accuracy53.3%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x x)
✓accuracy100.0%
(+.f64 #s(literal -2 binary64) (+.f64 x x))
✓accuracy99.5%
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
✓accuracy53.3%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x x))
✓accuracy100.0%
(+.f64 x x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
✓accuracy53.4%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
✓accuracy99.9%
(*.f64 x (*.f64 x x))
Samples
64.0ms130×0valid
28.0ms79×1valid
20.0ms39×2valid
4.0ms6×3valid
1.0ms2×4valid
Compiler

Compiled 142 to 30 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 33.0ms (35.7% of total)
ival-div: 25.0ms (27% of total)
ival-add: 12.0ms (13% of total)
ival-sub: 8.0ms (8.6% of total)
const: 7.0ms (7.6% of total)
adjust: 6.0ms (6.5% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-13.3MiB live, 24.7MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (+ (* -1/3 (* x (* x x))) x)>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (/ 2 (- 2 (+ x x)))>
#<alt (- (/ 2 (- 2 (+ x x))) 1)>
#<alt (- 2 (+ x x))>
#<alt (+ x x)>
#<alt (/ 2 (+ (* x (+ -2 (+ x x))) 2))>
#<alt (- (/ 2 (+ (* x (+ -2 (+ x x))) 2)) 1)>
#<alt (+ (* x (+ -2 (+ x x))) 2)>
#<alt (+ -2 (+ x x))>
#<alt (- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)>
#<alt (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2))>
#<alt (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)>
#<alt (+ (* x (+ (* x -4/3) 2)) -2)>
#<alt (+ (* x -4/3) 2)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))>
#<alt -1>
#<alt (- (/ 1 (pow x 2)) 1)>
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)>
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5))))>
#<alt -1>
#<alt (- (/ 1 (pow x 2)) 1)>
#<alt (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)>
#<alt (- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1)>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* 2 x) 2)>
#<alt (- (* 2 x) 2)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)>
#<alt (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)>
#<alt (- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))>
#<alt (/ -3/2 (pow x 3))>
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))>
#<alt (/ -3/2 (pow x 3))>
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (* -4/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* -4/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* x (+ 2 (* -4/3 x))) 2)>
#<alt (- (* x (+ 2 (* -4/3 x))) 2)>
#<alt (* -4/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* -4/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))>
#<alt 2>
#<alt (+ 2 (* -4/3 x))>
#<alt (+ 2 (* -4/3 x))>
#<alt (+ 2 (* -4/3 x))>
#<alt (* -4/3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 4/3))>
#<alt (* x (- (* 2 (/ 1 x)) 4/3))>
#<alt (* x (- (* 2 (/ 1 x)) 4/3))>
#<alt (* -4/3 x)>
#<alt (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))>
Calls

48 calls:

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

rewrite135.0ms (1.6%)

Memory
2.6MiB live, 280.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 064×accelerator-lowering-fma.f32
2 064×accelerator-lowering-fma.f64
734×*-lowering-*.f32
734×*-lowering-*.f64
648×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027122
1205122
02182102
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
16 → 613
Calls
Call 1
Inputs
(+ (* -1/3 (* x (* x x))) x)
(* x (* x x))
(* x x)
(/ 2 (- 2 (+ x x)))
(- (/ 2 (- 2 (+ x x))) 1)
(- 2 (+ x x))
(+ x x)
(/ 2 (+ (* x (+ -2 (+ x x))) 2))
(- (/ 2 (+ (* x (+ -2 (+ x x))) 2)) 1)
(+ (* x (+ -2 (+ x x))) 2)
(+ -2 (+ x x))
(- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)
(/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2))
(+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)
(+ (* x (+ (* x -4/3) 2)) -2)
(+ (* x -4/3) 2)
Outputs
(+.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
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(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))))) (-.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) (+.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) (*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))
(+.f64 (*.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16/9 binary64)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal 4 binary64)) (*.f64 x #s(literal -8/3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal 4 binary64)) (*.f64 x #s(literal -8/3 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 16/9 binary64)) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal 4 binary64)) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 16/9 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal 4 binary64)) (*.f64 x #s(literal -8/3 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))))

simplify492.0ms (5.9%)

Memory
-1.9MiB live, 451.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 926×accelerator-lowering-fma.f32
8 926×accelerator-lowering-fma.f64
3 742×*-lowering-*.f32
3 742×*-lowering-*.f64
1 932×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02131352
15981277
216921256
354721234
083501138
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))
(* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))
-1
(- (/ 1 (pow x 2)) 1)
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5))))
-1
(- (/ 1 (pow x 2)) 1)
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)
(- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* 2 x) 2)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
-2
(- (* 2 x) 2)
(- (* 2 x) 2)
(- (* 2 x) 2)
(* 2 x)
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* 2 x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))
-1
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))
-1
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))
(/ -3/2 (pow x 3))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))
(/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))
(/ -3/2 (pow x 3))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 3))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
2
(+ 2 (* -4/3 x))
(+ 2 (* -4/3 x))
(+ 2 (* -4/3 x))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* x (- (* 2 (/ 1 x)) 4/3))
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 x)
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* -1/3 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* -1/3 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 x)))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 x (fma.f64 x x x) x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x x 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) (/.f64 #s(literal 1 binary64) x)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))
(fma.f64 x (fma.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) (*.f64 x x))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) x)) (*.f64 x x))
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (*.f64 x (*.f64 x x)))
(* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))
(fma.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) x)
(* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (/ 1 (pow x 2)) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5))))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- (/ 1 (pow x 2)) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* x (- 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* x (- 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))))
(- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (*.f64 x (*.f64 x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x))))
(- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 9/4 binary64) x) (/.f64 #s(literal 9/8 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ -3/2 (pow x 3))
(/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -9/16 binary64) x)) x) #s(literal -9/4 binary64)) x)) (*.f64 x (*.f64 x x)))
(/ -3/2 (pow x 3))
(/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal -9/4 binary64) x) (/.f64 #s(literal -9/8 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -9/16 binary64) x)) x) #s(literal -9/4 binary64)) x)) (*.f64 x (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(* -4/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -4/3 binary64))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)))))
(* -4/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -4/3 binary64))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(*.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)))))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(* -4/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4/3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(* -4/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4/3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4/3 x))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(+ 2 (* -4/3 x))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(+ 2 (* -4/3 x))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))

eval211.0ms (2.5%)

Memory
13.3MiB live, 198.9MiB allocated
Compiler

Compiled 15 493 to 2 339 computations (84.9% saved)

prune176.0ms (2.1%)

Memory
-26.5MiB live, 228.2MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New9215926
Fresh011
Picked325
Done011
Total9249933
Accuracy
100.0%
Counts
933 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶28.2%
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
▶27.3%
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
✓52.3%
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
27.0%
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
▶27.5%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x)))) #s(literal 1 binary64))
✓53.3%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶27.4%
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))
✓54.1%
x
▶25.0%
#s(literal -1 binary64)
Compiler

Compiled 197 to 140 computations (28.9% saved)

simplify511.0ms (6.2%)

Memory
-7.3MiB live, 725.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x)))
✓cost-diff192
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x)))) #s(literal 1 binary64))
✓cost-diff704
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))
✓cost-diff1088
(/.f64 (+.f64 x x) (+.f64 x x))
✓cost-diff0
(+.f64 (+.f64 x x) #s(literal -4 binary64))
✓cost-diff192
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64)))
✓cost-diff384
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))
✓cost-diff512
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)))
✓cost-diff0
(+.f64 x x)
✓cost-diff0
(+.f64 (+.f64 x x) #s(literal -4 binary64))
✓cost-diff192
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64)))
✓cost-diff768
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(+.f64 x x)
✓cost-diff0
(+.f64 (+.f64 x x) #s(literal 8 binary64))
✓cost-diff192
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64)))
✓cost-diff768
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
Rules
24 218×accelerator-lowering-fma.f32
24 218×accelerator-lowering-fma.f64
2 758×*-lowering-*.f32
2 758×*-lowering-*.f64
2 416×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024144
166144
2172136
3289116
4479102
5831102
62887102
0814896
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (/ 2 (+ (+ x x) 8)) (+ (+ x x) 4)) -1)
(/ 2 (+ (+ x x) 8))
2
(+ (+ x x) 8)
(+ x x)
x
8
(+ (+ x x) 4)
4
-1
-1
(+ (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) -1)
(/ 2 (+ (+ x x) -4))
2
(+ (+ x x) -4)
(+ x x)
x
-4
(+ (+ x x) -2)
-2
-1
(- (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) 1)
(* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2))
(/ 2 (+ (+ x x) -4))
2
(+ (+ x x) -4)
(+ x x)
x
-4
(+ (+ x x) -2)
-2
1
(- (/ 2 (- 2 (/ (+ x x) (+ x x)))) 1)
(/ 2 (- 2 (/ (+ x x) (+ x x))))
2
(- 2 (/ (+ x x) (+ x x)))
(/ (+ x x) (+ x x))
(+ x x)
x
1
Outputs
(+ (* (/ 2 (+ (+ x x) 8)) (+ (+ x x) 4)) -1)
(/.f64 x (+.f64 x #s(literal 4 binary64)))
(/ 2 (+ (+ x x) 8))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64)))
2
#s(literal 2 binary64)
(+ (+ x x) 8)
(+.f64 (+.f64 x x) #s(literal 8 binary64))
(+ x x)
(+.f64 x x)
x
8
#s(literal 8 binary64)
(+ (+ x x) 4)
(+.f64 x (+.f64 x #s(literal 4 binary64)))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(+ (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) -1)
(/.f64 x (+.f64 x #s(literal -2 binary64)))
(/ 2 (+ (+ x x) -4))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64)))
2
#s(literal 2 binary64)
(+ (+ x x) -4)
(+.f64 (+.f64 x x) #s(literal -4 binary64))
(+ x x)
(+.f64 x x)
x
-4
#s(literal -4 binary64)
(+ (+ x x) -2)
(+.f64 (+.f64 x x) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
-1
#s(literal -1 binary64)
(- (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) 1)
(/.f64 x (+.f64 x #s(literal -2 binary64)))
(* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2))
(+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal -2 binary64))))
(/ 2 (+ (+ x x) -4))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64)))
2
#s(literal 2 binary64)
(+ (+ x x) -4)
(+.f64 (+.f64 x x) #s(literal -4 binary64))
(+ x x)
(+.f64 x x)
x
-4
#s(literal -4 binary64)
(+ (+ x x) -2)
(+.f64 (+.f64 x x) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
(- (/ 2 (- 2 (/ (+ x x) (+ x x)))) 1)
#s(literal 1 binary64)
(/ 2 (- 2 (/ (+ x x) (+ x x))))
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(- 2 (/ (+ x x) (+ x x)))
#s(literal 1 binary64)
(/ (+ x x) (+ x x))
#s(literal 1 binary64)
(+ x x)
(+.f64 x x)
x
1
#s(literal 1 binary64)

localize129.0ms (1.6%)

Memory
9.4MiB live, 246.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x))))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x)))) #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x)))
✓accuracy100.0%
(+.f64 x x)
✓accuracy100.0%
(+.f64 x x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64)))
✓accuracy99.9%
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)))
✓accuracy53.3%
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 (+.f64 x x) #s(literal -4 binary64))
✓accuracy100.0%
(+.f64 x x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64)))
✓accuracy52.8%
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 (+.f64 x x) #s(literal 4 binary64))
✓accuracy100.0%
(+.f64 x x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64)))
✓accuracy52.8%
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
Samples
26.0ms80×1valid
21.0ms129×0valid
19.0ms41×2valid
4.0ms6×3valid
Compiler

Compiled 180 to 27 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-add: 15.0ms (34.6% of total)
ival-div: 11.0ms (25.4% of total)
ival-sub: 6.0ms (13.8% of total)
ival-mult: 5.0ms (11.5% of total)
adjust: 4.0ms (9.2% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (+ (* (/ 2 (+ (+ x x) 8)) (+ (+ x x) 4)) -1)>
#<alt (/ 2 (+ (+ x x) 8))>
#<alt (+ (+ x x) 8)>
#<alt (+ x x)>
#<alt (+ (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) -1)>
#<alt (/ 2 (+ (+ x x) -4))>
#<alt (+ (+ x x) -4)>
#<alt (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2))>
#<alt (- (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) 1)>
#<alt (/ (+ x x) (+ x x))>
#<alt (/ 2 (- 2 (/ (+ x x) (+ x x))))>
#<alt (- (/ 2 (- 2 (/ (+ x x) (+ x x)))) 1)>
#<alt (- 2 (/ (+ x x) (+ x x)))>
#<alt (+ (+ x x) 4)>
Outputs
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* -1/16 x)))>
#<alt (* x (+ 1/4 (* x (- (* 1/64 x) 1/16))))>
#<alt (* x (+ 1/4 (* x (- (* x (+ 1/64 (* -1/256 x))) 1/16))))>
#<alt 1>
#<alt (- 1 (* 4 (/ 1 x)))>
#<alt (- (+ 1 (/ 16 (pow x 2))) (* 4 (/ 1 x)))>
#<alt (- (+ 1 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 4 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 4 (* 16 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 16 (* 64 (/ 1 x))) x))) x)))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 x))>
#<alt (+ 1/4 (* x (- (* 1/64 x) 1/16)))>
#<alt (+ 1/4 (* x (- (* x (+ 1/64 (* -1/256 x))) 1/16)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 16 (pow x 2))) (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 4) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64 (/ 1 x)) 16) x)) 4) x)) 1) x))>
#<alt 8>
#<alt (+ 8 (* 2 x))>
#<alt (+ 8 (* 2 x))>
#<alt (+ 8 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 8 (/ 1 x))))>
#<alt (* x (+ 2 (* 8 (/ 1 x))))>
#<alt (* x (+ 2 (* 8 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 8 (/ 1 x))))>
#<alt (* x (+ 2 (* 8 (/ 1 x))))>
#<alt (* x (+ 2 (* 8 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/4 x) 1/2))>
#<alt (* x (- (* x (- (* -1/8 x) 1/4)) 1/2))>
#<alt (* x (- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))>
#<alt -1/2>
#<alt (- (* -1/4 x) 1/2)>
#<alt (- (* x (- (* -1/8 x) 1/4)) 1/2)>
#<alt (- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 2 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) x))>
#<alt -4>
#<alt (- (* 2 x) 4)>
#<alt (- (* 2 x) 4)>
#<alt (- (* 2 x) 4)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 4 (/ 1 x))))>
#<alt (* x (- 2 (* 4 (/ 1 x))))>
#<alt (* x (- 2 (* 4 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 2)))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* -1/4 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (- (* -1/8 x) 1/4)) 1/2)))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 x)))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 x)))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/4 x) 1/2))>
#<alt (* x (- (* x (- (* -1/8 x) 1/4)) 1/2))>
#<alt (* x (- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 4>
#<alt (+ 4 (* 2 x))>
#<alt (+ 4 (* 2 x))>
#<alt (+ 4 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
Calls

42 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ 2 (+ (+ x x) -4))
0.0ms
x
@0
(+ (* (/ 2 (+ (+ x x) 8)) (+ (+ x x) 4)) -1)
0.0ms
x
@-inf
(+ (* (/ 2 (+ (+ x x) 8)) (+ (+ x x) 4)) -1)
0.0ms
x
@inf
(+ (* (/ 2 (+ (+ x x) 8)) (+ (+ x x) 4)) -1)
0.0ms
x
@0
(+ (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) -1)

rewrite47.0ms (0.6%)

Memory
4.3MiB live, 43.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
84×+-lowering-+.f64
84×+-lowering-+.f32
58×/-lowering-/.f32
58×/-lowering-/.f64
56×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02494
021378
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
14 → 65
Calls
Call 1
Inputs
(+ (* (/ 2 (+ (+ x x) 8)) (+ (+ x x) 4)) -1)
(/ 2 (+ (+ x x) 8))
(+ (+ x x) 8)
(+ x x)
(+ (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) -1)
(/ 2 (+ (+ x x) -4))
(+ (+ x x) -4)
(* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2))
(- (* (/ 2 (+ (+ x x) -4)) (+ (+ x x) -2)) 1)
(/ (+ x x) (+ x x))
(/ 2 (- 2 (/ (+ x x) (+ x x))))
(- (/ 2 (- 2 (/ (+ x x) (+ x x)))) 1)
(- 2 (/ (+ x x) (+ x x)))
(+ (+ x x) 4)
Outputs
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (+.f64 (+.f64 x x) #s(literal 8 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (+.f64 (+.f64 x x) #s(literal 8 binary64))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (+.f64 (+.f64 x x) #s(literal 8 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (+.f64 (+.f64 x x) #s(literal 8 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (+.f64 (+.f64 x x) #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (+.f64 (+.f64 x x) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (+.f64 (+.f64 x x) #s(literal 8 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (+.f64 (+.f64 x x) #s(literal 8 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (+.f64 (+.f64 x x) #s(literal 8 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (+.f64 x x) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64))))
(+.f64 x (+.f64 x #s(literal 8 binary64)))
(+.f64 (+.f64 x x) #s(literal 8 binary64))
(+.f64 #s(literal 8 binary64) (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x #s(literal 8 binary64))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) #s(literal 512 binary64)) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 #s(literal 64 binary64) (*.f64 (+.f64 x x) #s(literal 8 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 64 binary64)) (-.f64 (+.f64 x x) #s(literal 8 binary64)))
(+.f64 x x)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))))
(+.f64 x (+.f64 x #s(literal -4 binary64)))
(+.f64 (+.f64 x x) #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x #s(literal -4 binary64))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 x x) #s(literal -4 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 16 binary64)) (-.f64 (+.f64 x x) #s(literal -4 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal -2 binary64)))
(+.f64 (*.f64 (+.f64 x x) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64)))))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)))
(*.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -2 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(+.f64 x (+.f64 x #s(literal 4 binary64)))
(+.f64 (+.f64 x x) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 x x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 16 binary64)) (-.f64 (+.f64 x x) #s(literal 4 binary64)))

simplify312.0ms (3.8%)

Memory
-11.4MiB live, 625.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 956×accelerator-lowering-fma.f32
10 956×accelerator-lowering-fma.f64
2 602×--lowering--.f32
2 602×--lowering--.f64
2 382×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150872
1414856
2923848
32020816
44898800
57138800
08145737
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 1/4 x)
(* x (+ 1/4 (* -1/16 x)))
(* x (+ 1/4 (* x (- (* 1/64 x) 1/16))))
(* x (+ 1/4 (* x (- (* x (+ 1/64 (* -1/256 x))) 1/16))))
1
(- 1 (* 4 (/ 1 x)))
(- (+ 1 (/ 16 (pow x 2))) (* 4 (/ 1 x)))
(- (+ 1 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3)))))
1
(- 1 (* 4 (/ 1 x)))
(+ 1 (* -1 (/ (- 4 (* 16 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 16 (* 64 (/ 1 x))) x))) x)))
1/4
(+ 1/4 (* -1/16 x))
(+ 1/4 (* x (- (* 1/64 x) 1/16)))
(+ 1/4 (* x (- (* x (+ 1/64 (* -1/256 x))) 1/16)))
(/ 1 x)
(/ (- 1 (* 4 (/ 1 x))) x)
(/ (- (+ 1 (/ 16 (pow x 2))) (* 4 (/ 1 x))) x)
(/ (- (+ 1 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 4 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 4) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64 (/ 1 x)) 16) x)) 4) x)) 1) x))
8
(+ 8 (* 2 x))
(+ 8 (* 2 x))
(+ 8 (* 2 x))
(* 2 x)
(* x (+ 2 (* 8 (/ 1 x))))
(* x (+ 2 (* 8 (/ 1 x))))
(* x (+ 2 (* 8 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 8 (/ 1 x))))
(* x (+ 2 (* 8 (/ 1 x))))
(* x (+ 2 (* 8 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1/2 x)
(* x (- (* -1/4 x) 1/2))
(* x (- (* x (- (* -1/8 x) 1/4)) 1/2))
(* x (- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))
-1/2
(- (* -1/4 x) 1/2)
(- (* x (- (* -1/8 x) 1/4)) 1/2)
(- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2)
(/ 1 x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2)))) x)
(/ (+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2))))) x)
(/ 1 x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) x))
-4
(- (* 2 x) 4)
(- (* 2 x) 4)
(- (* 2 x) 4)
(* 2 x)
(* x (- 2 (* 4 (/ 1 x))))
(* x (- 2 (* 4 (/ 1 x))))
(* x (- 2 (* 4 (/ 1 x))))
(* 2 x)
(* -1 (* x (- (* 4 (/ 1 x)) 2)))
(* -1 (* x (- (* 4 (/ 1 x)) 2)))
(* -1 (* x (- (* 4 (/ 1 x)) 2)))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/4 x) 1/2)))
(+ 1 (* x (- (* x (- (* -1/8 x) 1/4)) 1/2)))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))
(* -1/2 x)
(* x (- (* -1/4 x) 1/2))
(* x (- (* x (- (* -1/8 x) 1/4)) 1/2))
(* x (- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
(+ 4 (* 2 x))
(+ 4 (* 2 x))
(+ 4 (* 2 x))
(* 2 x)
(* x (+ 2 (* 4 (/ 1 x))))
(* x (+ 2 (* 4 (/ 1 x))))
(* x (+ 2 (* 4 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 4 (/ 1 x))))
(* x (+ 2 (* 4 (/ 1 x))))
(* x (+ 2 (* 4 (/ 1 x))))
Outputs
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* -1/16 x)))
(*.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
(* x (+ 1/4 (* x (- (* 1/64 x) 1/16))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))
(* x (+ 1/4 (* x (- (* x (+ 1/64 (* -1/256 x))) 1/16))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/256 binary64) #s(literal 1/64 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))
1
#s(literal 1 binary64)
(- 1 (* 4 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) x))
(- (+ 1 (/ 16 (pow x 2))) (* 4 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -4 binary64)) x))
(- (+ 1 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -64 binary64) x)) x) #s(literal -4 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 4 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) x))
(+ 1 (* -1 (/ (- 4 (* 16 (/ 1 x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -4 binary64)) x))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 16 (* 64 (/ 1 x))) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -64 binary64) x)) x) #s(literal -4 binary64)) x))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/16 x))
(fma.f64 x #s(literal -1/16 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* x (- (* 1/64 x) 1/16)))
(fma.f64 x (fma.f64 x #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* x (- (* x (+ 1/64 (* -1/256 x))) 1/16)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/256 binary64) #s(literal 1/64 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(/ (- (+ 1 (/ 16 (pow x 2))) (* 4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -4 binary64)) x)) x)
(/ (- (+ 1 (/ 16 (pow x 2))) (+ (* 4 (/ 1 x)) (* 64 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -64 binary64) x)) x) #s(literal -4 binary64)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 4 (/ 1 x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 4) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -4 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64 (/ 1 x)) 16) x)) 4) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -64 binary64) x)) x) #s(literal -4 binary64)) x)) x)
8
#s(literal 8 binary64)
(+ 8 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(+ 8 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(+ 8 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 8 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* x (+ 2 (* 8 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* x (+ 2 (* 8 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 8 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* x (+ 2 (* 8 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* x (+ 2 (* 8 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/4 x) 1/2))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* x (- (* x (- (* -1/8 x) 1/4)) 1/2))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
(* x (- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x))
-1/2
#s(literal -1/2 binary64)
(- (* -1/4 x) 1/2)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(- (* x (- (* -1/8 x) 1/4)) 1/2)
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))
(- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) x)
(/ (+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x)) x)
-4
#s(literal -4 binary64)
(- (* 2 x) 4)
(fma.f64 x #s(literal 2 binary64) #s(literal -4 binary64))
(- (* 2 x) 4)
(fma.f64 x #s(literal 2 binary64) #s(literal -4 binary64))
(- (* 2 x) 4)
(fma.f64 x #s(literal 2 binary64) #s(literal -4 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -4 binary64))
(* x (- 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -4 binary64))
(* x (- 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -4 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -1/4 x) 1/2)))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1/8 x) 1/4)) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 2 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 2 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/4 x) 1/2))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* x (- (* x (- (* -1/8 x) 1/4)) 1/2))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
(* x (- (* x (- (* x (- (* -1/16 x) 1/8)) 1/4)) 1/2))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
4
#s(literal 4 binary64)
(+ 4 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(+ 4 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(+ 4 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))

eval68.0ms (0.8%)

Memory
-0.1MiB live, 113.1MiB allocated
Compiler

Compiled 5 202 to 406 computations (92.2% saved)

prune49.0ms (0.6%)

Memory
17.9MiB live, 56.3MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3772379
Fresh011
Picked415
Done033
Total3817388
Accuracy
100.0%
Counts
388 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.1%
(fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
✓52.3%
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
▶27.0%
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
✓53.3%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓54.1%
x
▶27.5%
#s(literal 1 binary64)
✓25.0%
#s(literal -1 binary64)
Compiler

Compiled 60 to 47 computations (21.7% saved)

simplify279.0ms (3.4%)

Memory
5.9MiB live, 400.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x x)
✓cost-diff0
(+.f64 (+.f64 x x) #s(literal 4 binary64))
✓cost-diff448
(fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
✓cost-diff64
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓cost-diff128
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
✓cost-diff128
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
Rules
8 520×associate-+r+
6 354×+-lowering-+.f64
6 354×+-lowering-+.f32
2 940×accelerator-lowering-fma.f32
2 940×accelerator-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02193
15089
29787
315587
425687
554087
6128687
7219487
8309987
9313087
10313187
11313187
12313187
13444187
14452487
15458687
16467287
17471287
18471887
19495787
20495787
21495787
22495787
0927573
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
1
(- (/ (* 2 (- 1 (exp (* -2 x)))) (- 1 (exp (* x -4)))) 1)
(/ (* 2 (- 1 (exp (* -2 x)))) (- 1 (exp (* x -4))))
(* 2 (- 1 (exp (* -2 x))))
2
(- 1 (exp (* -2 x)))
1
(exp (* -2 x))
(* -2 x)
-2
x
(- 1 (exp (* x -4)))
(exp (* x -4))
(* x -4)
-4
(+ (* 1/4 (+ (+ x x) 4)) -1)
1/4
(+ (+ x x) 4)
(+ x x)
x
4
-1
Outputs
1
#s(literal 1 binary64)
(- (/ (* 2 (- 1 (exp (* -2 x)))) (- 1 (exp (* x -4)))) 1)
(fma.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(/ (* 2 (- 1 (exp (* -2 x)))) (- 1 (exp (* x -4))))
(/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(* 2 (- 1 (exp (* -2 x))))
(*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
2
#s(literal 2 binary64)
(- 1 (exp (* -2 x)))
(neg.f64 (expm1.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
(- 1 (exp (* x -4)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(exp (* x -4))
(exp.f64 (*.f64 x #s(literal -4 binary64)))
(* x -4)
(*.f64 x #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(+ (* 1/4 (+ (+ x x) 4)) -1)
(*.f64 x #s(literal 1/2 binary64))
1/4
#s(literal 1/4 binary64)
(+ (+ x x) 4)
(+.f64 (+.f64 x x) #s(literal 4 binary64))
(+ x x)
(+.f64 x x)
x
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)

localize146.0ms (1.8%)

Memory
-21.8MiB live, 352.2MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (+.f64 x x) #s(literal 4 binary64))
✓accuracy100.0%
(+.f64 x x)
✓accuracy53.2%
(fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
✓accuracy98.4%
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
✓accuracy53.5%
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
✓accuracy53.4%
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓accuracy53.3%
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
Samples
51.0ms41×2valid
36.0ms79×1valid
10.0ms76×0valid
8.0ms6×3valid
8.0ms54×0exit
Compiler

Compiled 94 to 26 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-expm1: 58.0ms (60.9% of total)
ival-mult: 11.0ms (11.6% of total)
ival-exp: 7.0ms (7.4% of total)
ival-add: 5.0ms (5.3% of total)
adjust: 4.0ms (4.2% of total)
ival-neg: 4.0ms (4.2% of total)
ival-div: 3.0ms (3.2% of total)
ival-sub: 2.0ms (2.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (- (/ (* 2 (- 1 (exp (* -2 x)))) (- 1 (exp (* x -4)))) 1)>
#<alt (/ (* 2 (- 1 (exp (* -2 x)))) (- 1 (exp (* x -4))))>
#<alt (* 2 (- 1 (exp (* -2 x))))>
#<alt (- 1 (exp (* -2 x)))>
#<alt (+ (* 1/4 (+ (+ x x) 4)) -1)>
#<alt (+ (+ x x) 4)>
#<alt (+ x x)>
#<alt (- 1 (exp (* x -4)))>
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 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)>
#<alt (- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 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))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 x)))>
#<alt (* x (+ 4 (* x (- (* 8/3 x) 4))))>
#<alt (* x (+ 4 (* x (- (* x (+ 8/3 (* -4/3 x))) 4))))>
#<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 x)>
#<alt (* x (+ 2 (* -2 x)))>
#<alt (* x (+ 2 (* x (- (* 4/3 x) 2))))>
#<alt (* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 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 (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 4>
#<alt (+ 4 (* 2 x))>
#<alt (+ 4 (* 2 x))>
#<alt (+ 4 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -8 x)))>
#<alt (* x (+ 4 (* x (- (* 32/3 x) 8))))>
#<alt (* x (+ 4 (* x (- (* x (+ 32/3 (* -32/3 x))) 8))))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
#<alt (- 1 (exp (* -4 x)))>
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(- (/ (* 2 (- 1 (exp (* -2 x)))) (- 1 (exp (* x -4)))) 1)
1.0ms
x
@inf
(- (/ (* 2 (- 1 (exp (* -2 x)))) (- 1 (exp (* x -4)))) 1)
0.0ms
x
@0
(- (/ (* 2 (- 1 (exp (* -2 x)))) (- 1 (exp (* x -4)))) 1)
0.0ms
x
@inf
(+ (* 1/4 (+ (+ x x) 4)) -1)
0.0ms
x
@0
(+ (* 1/4 (+ (+ x x) 4)) -1)

rewrite81.0ms (1%)

Memory
1.4MiB live, 75.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
926×accelerator-lowering-fma.f32
926×accelerator-lowering-fma.f64
492×*-lowering-*.f32
492×*-lowering-*.f64
428×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02169
112455
0111052
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
8 → 206
Calls
Call 1
Inputs
(- (/ (* 2 (- 1 (exp (* -2 x)))) (- 1 (exp (* x -4)))) 1)
(/ (* 2 (- 1 (exp (* -2 x)))) (- 1 (exp (* x -4))))
(* 2 (- 1 (exp (* -2 x))))
(- 1 (exp (* -2 x)))
(+ (* 1/4 (+ (+ x x) 4)) -1)
(+ (+ x x) 4)
(+ x x)
(- 1 (exp (* x -4)))
Outputs
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x (+.f64 x #s(literal 4 binary64))) #s(literal -1/4 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x (+.f64 x #s(literal 4 binary64))) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (*.f64 (+.f64 x (+.f64 x #s(literal 4 binary64))) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 x x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x (+.f64 x #s(literal 4 binary64))) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 x x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x (+.f64 x #s(literal 4 binary64))) #s(literal -1/4 binary64)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 2 binary64))))
(+.f64 x (+.f64 x #s(literal 4 binary64)))
(+.f64 (+.f64 x x) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 x x))
(+.f64 (+.f64 x #s(literal 4 binary64)) x)
(-.f64 (/.f64 (+.f64 x x) (+.f64 x (-.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 x (-.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)) #s(literal 4 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 1/4 binary64) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) #s(literal 1/4 binary64) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 (+.f64 x x) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (+.f64 x x) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 4 binary64))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 4 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal 4 binary64))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 4 binary64))
(fma.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) x #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 16 binary64) (+.f64 x x))) (+.f64 (+.f64 x x) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 x x) #s(literal -16 binary64))))
(/.f64 (+.f64 (+.f64 x x) #s(literal 64 binary64)) (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 16 binary64) (+.f64 x x))))
(/.f64 (+.f64 (+.f64 x x) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (+.f64 x x) (+.f64 x x))))
(/.f64 (-.f64 #s(literal 16 binary64) (+.f64 x x)) (-.f64 #s(literal 4 binary64) (+.f64 x x)))
(/.f64 (+.f64 (+.f64 x x) #s(literal -16 binary64)) (+.f64 x (-.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 64 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 16 binary64) (+.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal -16 binary64))) (neg.f64 (+.f64 x (-.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))) (*.f64 x (+.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64)))) (-.f64 x (+.f64 x #s(literal 4 binary64))))
(*.f64 (+.f64 (+.f64 x x) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 16 binary64) (+.f64 x x)))))
(*.f64 (+.f64 (+.f64 x x) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 x #s(literal 4 binary64)))))
(+.f64 x x)
(+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal 1/4 binary64) x))
(+.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x))
(+.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/4 binary64)))
(+.f64 (*.f64 x (+.f64 x x)) (*.f64 x (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))
(fma.f64 x (+.f64 x x) (*.f64 x (+.f64 x x)))
(fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/4 binary64) x))
(fma.f64 (+.f64 x x) x (*.f64 (+.f64 x x) x))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1/4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow.f64 (+.f64 x x) #s(literal 2 binary64))
(pow.f64 (+.f64 x x) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/4 binary64) (+.f64 x x))
(*.f64 (+.f64 x x) #s(literal 1/4 binary64))
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 (+.f64 x x) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (+.f64 x x))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (/.f64 (exp.f64 (fma.f64 x #s(literal -4 binary64) (*.f64 x #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) (*.f64 x #s(literal -4 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) (*.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) (*.f64 x #s(literal -4 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal -4 binary64)))) (neg.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))))) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal -4 binary64)))) (neg.f64 (exp.f64 (*.f64 x #s(literal -4 binary64)))))) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -4 binary64) (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))

simplify310.0ms (3.7%)

Memory
-14.0MiB live, 458.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 098×accelerator-lowering-fma.f32
10 098×accelerator-lowering-fma.f64
2 726×*-lowering-*.f32
2 726×*-lowering-*.f64
2 654×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099726
1279726
2500716
31259716
42449716
53639716
64454716
75517716
87250716
08249576
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
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 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 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))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(* 4 x)
(* x (+ 4 (* -4 x)))
(* x (+ 4 (* x (- (* 8/3 x) 4))))
(* x (+ 4 (* x (- (* x (+ 8/3 (* -4/3 x))) 4))))
(* 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 x)
(* x (+ 2 (* -2 x)))
(* x (+ 2 (* x (- (* 4/3 x) 2))))
(* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 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)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
4
(+ 4 (* 2 x))
(+ 4 (* 2 x))
(+ 4 (* 2 x))
(* 2 x)
(* x (+ 2 (* 4 (/ 1 x))))
(* x (+ 2 (* 4 (/ 1 x))))
(* x (+ 2 (* 4 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 4 (/ 1 x))))
(* x (+ 2 (* 4 (/ 1 x))))
(* x (+ 2 (* 4 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 4 x)
(* x (+ 4 (* -8 x)))
(* x (+ 4 (* x (- (* 32/3 x) 8))))
(* x (+ 4 (* x (- (* x (+ 32/3 (* -32/3 x))) 8))))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
(- 1 (exp (* -4 x)))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(- (* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x))))) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 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 x (*.f64 x #s(literal -1/3 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (/ (- 1 (exp (* -2 x))) (- 1 (exp (* -4 x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* -4 x)))
(*.f64 x (fma.f64 x #s(literal -4 binary64) #s(literal 4 binary64)))
(* x (+ 4 (* x (- (* 8/3 x) 4))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 8/3 binary64) #s(literal -4 binary64)) #s(literal 4 binary64)))
(* x (+ 4 (* x (- (* x (+ 8/3 (* -4/3 x))) 4))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 8/3 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))
(* 2 (- 1 (exp (* -2 x))))
(*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (- 1 (exp (* -2 x))))
(*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (- 1 (exp (* -2 x))))
(*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (- 1 (exp (* -2 x))))
(*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (- 1 (exp (* -2 x))))
(*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (- 1 (exp (* -2 x))))
(*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (- 1 (exp (* -2 x))))
(*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 (- 1 (exp (* -2 x))))
(*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* x (- (* 4/3 x) 2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 4/3 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(- 1 (exp (* -2 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (exp (* -2 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (exp (* -2 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (exp (* -2 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (exp (* -2 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (exp (* -2 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (exp (* -2 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(- 1 (exp (* -2 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(+ 4 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(+ 4 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* -8 x)))
(*.f64 x (fma.f64 x #s(literal -8 binary64) #s(literal 4 binary64)))
(* x (+ 4 (* x (- (* 32/3 x) 8))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 32/3 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)))
(* x (+ 4 (* x (- (* x (+ 32/3 (* -32/3 x))) 8))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -32/3 binary64) #s(literal 32/3 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))
(- 1 (exp (* -4 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(- 1 (exp (* -4 x)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))))

eval43.0ms (0.5%)

Memory
-12.8MiB live, 85.3MiB allocated
Compiler

Compiled 4 858 to 747 computations (84.6% saved)

prune35.0ms (0.4%)

Memory
32.3MiB live, 111.0MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New3002302
Fresh000
Picked123
Done044
Total3018309
Accuracy
100.0%
Counts
309 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓6.1%
(fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
✓52.3%
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
28.0%
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
✓53.3%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
12.4%
(*.f64 x #s(literal 1/2 binary64))
✓54.1%
x
✓27.5%
#s(literal 1 binary64)
✓25.0%
#s(literal -1 binary64)
Compiler

Compiled 220 to 111 computations (49.5% saved)

regimes36.0ms (0.4%)

Memory
-14.3MiB live, 66.0MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
#s(literal -1 binary64)
Calls

7 calls:

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) x)
5.0ms
y
5.0ms
x
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
100.0%3x
62.9%4y
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)

regimes66.0ms (0.8%)

Memory
2.6MiB live, 40.9MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x)))) #s(literal 1 binary64))
(-.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))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
#s(literal -1 binary64)
Calls

6 calls:

44.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
5.0ms
(*.f64 #s(literal -2 binary64) x)
4.0ms
x
4.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
4.0ms
(/.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)

regimes30.0ms (0.4%)

Memory
-1.3MiB live, 37.0MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal -4 binary64))) (+.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 x x)))) #s(literal 1 binary64))
Outputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
#s(literal -1 binary64)
Calls

6 calls:

10.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
5.0ms
(*.f64 #s(literal -2 binary64) x)
4.0ms
x
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
3.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.7%3x
99.7%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
99.7%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
99.7%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
99.7%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
99.7%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes97.0ms (1.2%)

Memory
-17.1MiB live, 21.2MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
x
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64))
Outputs
#s(literal 1 binary64)
x
#s(literal -1 binary64)
Calls

6 calls:

86.0ms
x
2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
99.3%3x
99.3%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
99.3%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
99.3%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
99.3%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
99.3%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes10.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

7 calls:

2.0ms
(*.f64 #s(literal -2 binary64) x)
1.0ms
y
1.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
31.5%3y
50.7%2x
50.0%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
50.0%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
50.0%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
50.0%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
50.7%2(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 47 to 39 computations (17% saved)

regimes9.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB 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
x
1.0ms
y
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
25.0%1y
25.0%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
25.0%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
25.0%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
25.0%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
25.0%1(*.f64 #s(literal -2 binary64) x)
25.0%1x
Compiler

Compiled 47 to 39 computations (17% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.00012101407420197402
454.74409105350077
0.0ms
-3.6370081396577745
-7.004183026347786e-6
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch90.0ms (1.1%)

Memory
-40.0MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.00012101407420197402
454.74409105350077
90.0ms
-3.6370081396577745
-7.004183026347786e-6
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.00012101407420197402
454.74409105350077
0.0ms
-3.6370081396577745
-7.004183026347786e-6
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.00012101407420197402
454.74409105350077
0.0ms
-3.6370081396577745
-7.004183026347786e-6
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch128.0ms (1.5%)

Memory
24.2MiB live, 61.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
124.0ms
-1.5565117598000884e-307
3.012909974434287e-303
Samples
119.0ms144×2valid
Compiler

Compiled 87 to 87 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-exp: 25.0ms (65.8% of total)
adjust: 3.0ms (7.9% of total)
ival-div: 3.0ms (7.9% of total)
ival-sub: 2.0ms (5.3% of total)
ival-add: 2.0ms (5.3% of total)
ival-mult: 2.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
10×+-commutative_binary64
10×sub-neg_binary64
4×mul-1-neg_binary64
4×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035111
148111
255111
364111
465111
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -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)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
Outputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) #s(literal -1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -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)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -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)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness1.4s (17.1%)

Memory
-14.8MiB live, 623.2MiB allocated
Rules
15 342×accelerator-lowering-fma.f32
15 342×accelerator-lowering-fma.f64
10 098×accelerator-lowering-fma.f32
10 098×accelerator-lowering-fma.f64
8 926×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02494
021378
0928
14828
236628
3597128
0813728
099726
1279726
2500716
31259716
42449716
53639716
64454716
75517716
87250716
08249576
02131352
15981277
216921256
354721234
083501138
027122
1205122
02182102
049358
1119358
2234348
3604348
41194348
51764348
62024348
72599348
83669348
95745348
106685348
117091348
127233348
137295348
147337348
08101327
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×unsound
Compiler

Compiled 293 to 171 computations (41.6% saved)

preprocess42.0ms (0.5%)

Memory
20.1MiB live, 97.7MiB allocated
Remove

(abs y)

Compiler

Compiled 326 to 136 computations (58.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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