Logistic function from Lakshay Garg

Time bar (total: 11.6s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 12 to 12 computations (0% saved)

sample1.8s (15.4%)

Memory
23.7MiB live, 2 196.8MiB allocated
Samples
655.0ms1 677×2valid
454.0ms2 310×1valid
300.0ms4 269×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-exp: 534.0ms (50.8% of total)
ival-div: 127.0ms (12.1% of total)
ival-mult: 123.0ms (11.7% of total)
ival-sub: 93.0ms (8.8% of total)
ival-add: 75.0ms (7.1% of total)
adjust: 70.0ms (6.7% of total)
exact: 18.0ms (1.7% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess30.0ms (0.3%)

Memory
-7.3MiB live, 37.2MiB allocated
Algorithm
2×egg-herbie
Rules
102×sub-neg
56×exp-prod
56×+-commutative
32×associate-+l-
32×div-sub
Iterations

Useful iterations: 0 (0.0ms)

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

(abs y)

explain221.0ms (1.9%)

Memory
11.6MiB live, 332.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1370-0-(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
00-0-(exp.f64 (*.f64 #s(literal -2 binary64) x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal -2 binary64) x)
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
00-0-#s(literal -2 binary64)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))cancellation1370
Confusion
Predicted +Predicted -
+1370
-0119
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13700
-00119
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0119
1137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms242×0valid
35.0ms106×2valid
28.0ms164×1valid
Compiler

Compiled 98 to 44 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-exp: 26.0ms (47.3% of total)
adjust: 7.0ms (12.7% of total)
ival-div: 6.0ms (10.9% of total)
ival-mult: 6.0ms (10.9% of total)
ival-sub: 4.0ms (7.3% of total)
ival-add: 4.0ms (7.3% of total)
exact: 1.0ms (1.8% of total)
ival-true: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Compiler

Compiled 12 to 11 computations (8.3% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.4%
(-.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
9.2MiB live, 9.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize98.0ms (0.8%)

Memory
-10.4MiB live, 104.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(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))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓accuracy50.4%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Samples
45.0ms53×2valid
33.0ms82×1valid
8.0ms121×0valid
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-sub: 20.0ms (43.4% of total)
ival-exp: 12.0ms (26% of total)
ival-add: 4.0ms (8.7% of total)
adjust: 3.0ms (6.5% of total)
ival-div: 3.0ms (6.5% of total)
ival-mult: 3.0ms (6.5% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
5.5MiB live, 5.5MiB 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))))

rewrite372.0ms (3.2%)

Memory
9.1MiB live, 569.5MiB 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 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #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)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 #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)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #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 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #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)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (/.f64 #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)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #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 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #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 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 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)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 #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)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 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 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64)) (/.f64 #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)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 #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)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.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)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 #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)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))))
(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))
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(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.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)))) (+.f64 #s(literal 1 binary64) (*.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)))))
(*.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) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal -4 binary64) (/.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (/.f64 x #s(literal 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 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)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (/.f64 x #s(literal 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 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 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 2 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (/.f64 x #s(literal 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 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 2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 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 2 binary64))))) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))

simplify504.0ms (4.4%)

Memory
16.0MiB live, 756.2MiB 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))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.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)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 2 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))

eval53.0ms (0.5%)

Memory
-14.8MiB live, 128.3MiB allocated
Compiler

Compiled 7 943 to 996 computations (87.5% saved)

prune43.0ms (0.4%)

Memory
18.6MiB live, 137.3MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3237330
Fresh000
Picked011
Done000
Total3238331
Accuracy
100.0%
Counts
331 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶27.3%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
28.4%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
▶28.1%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
✓50.4%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶6.2%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
55.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
▶53.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶55.7%
x
Compiler

Compiled 178 to 128 computations (28.1% saved)

simplify461.0ms (4%)

Memory
-14.6MiB live, 654.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
✓cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
✓cost-diff128
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))))
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓cost-diff128
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff256
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
Rules
15 424×accelerator-lowering-fma.f32
15 424×accelerator-lowering-fma.f64
2 984×+-lowering-+.f64
2 984×+-lowering-+.f32
2 980×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020113
156113
2102111
3458103
42974103
55979103
0818294
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
x
(- (+ x 1) 1)
(+ x 1)
x
1
(* x (+ 1 (* -1/3 (* x x))))
x
(+ 1 (* -1/3 (* x x)))
1
(* -1/3 (* x x))
-1/3
(* x x)
(- (/ 2 (- 2 (* x 2))) 1)
(/ 2 (- 2 (* x 2)))
2
(- 2 (* x 2))
(* x 2)
x
1
(- (/ 2 (+ 2 (* x (+ -2 (* x 2))))) 1)
(/ 2 (+ 2 (* x (+ -2 (* x 2)))))
2
(+ 2 (* x (+ -2 (* x 2))))
(* x (+ -2 (* x 2)))
x
(+ -2 (* x 2))
-2
(* x 2)
1
Outputs
x
(- (+ x 1) 1)
x
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(* x (+ 1 (* -1/3 (* x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
x
(+ 1 (* -1/3 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* -1/3 (* x x))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
-1/3
#s(literal -1/3 binary64)
(* x x)
(*.f64 x x)
(- (/ 2 (- 2 (* x 2))) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/ 2 (- 2 (* x 2)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
2
#s(literal 2 binary64)
(- 2 (* x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
1
#s(literal 1 binary64)
(- (/ 2 (+ 2 (* x (+ -2 (* x 2))))) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64))
(/ 2 (+ 2 (* x (+ -2 (* x 2)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* x (+ -2 (* x 2))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(* x (+ -2 (* x 2)))
(*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
x
(+ -2 (* x 2))
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* x 2)
(*.f64 x #s(literal 2 binary64))
1
#s(literal 1 binary64)

localize141.0ms (1.2%)

Memory
-20.9MiB live, 263.1MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))
✓accuracy99.4%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))))
✓accuracy50.4%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
✓accuracy50.4%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓accuracy99.7%
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy50.4%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
Samples
41.0ms53×2valid
25.0ms121×0valid
23.0ms82×1valid
Compiler

Compiled 119 to 23 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-sub: 27.0ms (39.6% of total)
ival-add: 13.0ms (19.1% of total)
ival-mult: 11.0ms (16.1% of total)
adjust: 6.0ms (8.8% of total)
ival-div: 6.0ms (8.8% of total)
const: 4.0ms (5.9% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
-11.8MiB live, 26.7MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (- (+ x 1) 1)>
#<alt (+ x 1)>
#<alt (* x (+ 1 (* -1/3 (* x x))))>
#<alt (+ 1 (* -1/3 (* x x)))>
#<alt (* -1/3 (* x x))>
#<alt (* x x)>
#<alt (/ 2 (- 2 (* x 2)))>
#<alt (- (/ 2 (- 2 (* x 2))) 1)>
#<alt (- 2 (* x 2))>
#<alt (* x 2)>
#<alt (/ 2 (+ 2 (* x (+ -2 (* x 2)))))>
#<alt (- (/ 2 (+ 2 (* x (+ -2 (* x 2))))) 1)>
#<alt (+ 2 (* x (+ -2 (* x 2))))>
#<alt (* x (+ -2 (* x 2)))>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<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 x)>
#<alt (* x (- (* 2 x) 2))>
#<alt (* x (- (* 2 x) 2))>
#<alt (* x (- (* 2 x) 2))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
Calls

42 calls:

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

rewrite362.0ms (3.1%)

Memory
26.4MiB live, 701.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 584×/-lowering-/.f32
4 584×/-lowering-/.f64
4 424×*-lowering-*.f32
4 424×*-lowering-*.f64
4 090×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02094
115590
2137190
0834878
Stop Event
1×iter limit
1×node limit
Counts
14 → 417
Calls
Call 1
Inputs
(- (+ x 1) 1)
(+ x 1)
(* x (+ 1 (* -1/3 (* x x))))
(+ 1 (* -1/3 (* x x)))
(* -1/3 (* x x))
(* x x)
(/ 2 (- 2 (* x 2)))
(- (/ 2 (- 2 (* x 2))) 1)
(- 2 (* x 2))
(* x 2)
(/ 2 (+ 2 (* x (+ -2 (* x 2)))))
(- (/ 2 (+ 2 (* x (+ -2 (* x 2))))) 1)
(+ 2 (* x (+ -2 (* x 2))))
(* x (+ -2 (* x 2)))
Outputs
x
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal 0 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(fma.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (+.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 2 binary64)))))
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(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (-.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))))
(+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) x) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) x)) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x)) (neg.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))))))
(*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) x)

simplify352.0ms (3%)

Memory
26.9MiB live, 589.1MiB allocated
Algorithm
1×egg-herbie
Rules
12 394×accelerator-lowering-fma.f32
12 394×accelerator-lowering-fma.f64
3 232×*-lowering-*.f32
3 232×*-lowering-*.f64
1 518×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151016
1321965
2800934
32369922
46748918
08210860
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(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 x)
(* x (- (* 2 x) 2))
(* x (- (* 2 x) 2))
(* x (- (* 2 x) 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 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))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 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)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.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 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(*.f64 (+.f64 x #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)) 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 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) 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 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1 x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 x (*.f64 (+.f64 x #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)) (pow x 2))) (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 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 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* x (- (* 2 (/ 1 x)) 2))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* x (- (* 2 (/ 1 x)) 2))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.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))
(* 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)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 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 x)) (/ 1 (pow x 3))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) x) x)
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) x)) x)) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) 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 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) x)) x)) (*.f64 x x))
x
(* x (+ 1 (* -1 (pow x 2))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) x)))))
(* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
-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 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5))))
(+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) 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 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) x) x))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+ 2 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 x) 2))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* x (- (* 2 x) 2))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* x (- (* 2 x) 2))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))

eval84.0ms (0.7%)

Memory
2.4MiB live, 196.9MiB allocated
Compiler

Compiled 13 118 to 1 466 computations (88.8% saved)

prune163.0ms (1.4%)

Memory
-13.9MiB live, 188.9MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New5936599
Fresh112
Picked235
Done011
Total59611607
Accuracy
100.0%
Counts
607 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.3%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
▶32.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
20.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64))))
▶55.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓50.4%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓6.2%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶4.4%
(-.f64 x #s(literal 1 binary64))
▶55.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓53.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓55.7%
x
▶26.5%
#s(literal -1 binary64)
Compiler

Compiled 203 to 133 computations (34.5% saved)

simplify302.0ms (2.6%)

Memory
-17.9MiB live, 654.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓cost-diff128
(-.f64 (*.f64 x x) #s(literal 0 binary64))
✓cost-diff128
(-.f64 x #s(literal 0 binary64))
✓cost-diff128
(/.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 (*.f64 x x) #s(literal 0 binary64)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
✓cost-diff0
(-.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
Rules
11 278×accelerator-lowering-fma.f32
11 278×accelerator-lowering-fma.f64
4 946×*-lowering-*.f32
4 946×*-lowering-*.f64
1 634×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01984
15684
221182
367782
4153382
5376882
6657382
0808776
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 x))
1
(/ 1 x)
x
-1
(- x 1)
x
1
(/ 1 (/ (- x 0) (- (* x x) 0)))
1
(/ (- x 0) (- (* x x) 0))
(- x 0)
x
0
(- (* x x) 0)
(* x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))
1
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(* x x)
(+ -1/3 (* (* x x) 2/15))
-1/3
(* (* x x) 2/15)
2/15
Outputs
(/ 1 (/ 1 x))
x
1
#s(literal 1 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
1
#s(literal 1 binary64)
(/ 1 (/ (- x 0) (- (* x x) 0)))
x
1
#s(literal 1 binary64)
(/ (- x 0) (- (* x x) 0))
(/.f64 #s(literal 1 binary64) x)
(- x 0)
x
x
0
#s(literal 0 binary64)
(- (* x x) 0)
(*.f64 x x)
(* x x)
(*.f64 x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* x x)
(*.f64 x x)
(+ -1/3 (* (* x x) 2/15))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
-1/3
#s(literal -1/3 binary64)
(* (* x x) 2/15)
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)

localize99.0ms (0.9%)

Memory
13.4MiB live, 131.4MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
✓accuracy100.0%
(-.f64 x #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
✓accuracy55.0%
(/.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 (*.f64 x x) #s(literal 0 binary64)))
✓accuracy100.0%
(-.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
Samples
75.0ms256×0valid
Compiler

Compiled 110 to 22 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sub: 22.0ms (49.4% of total)
ival-div: 7.0ms (15.7% of total)
ival-mult: 7.0ms (15.7% of total)
const: 6.0ms (13.5% of total)
ival-add: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
10.7MiB live, 10.6MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (- x 1)>
#<alt (/ 1 (/ (- x 0) (- (* x x) 0)))>
#<alt (/ (- x 0) (- (* x x) 0))>
#<alt (- x 0)>
#<alt (- (* x x) 0)>
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))>
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))>
#<alt (* (* x x) (+ -1/3 (* (* x x) 2/15)))>
#<alt (* x x)>
#<alt (* (* x x) 2/15)>
#<alt (+ -1/3 (* (* x x) 2/15))>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
Calls

39 calls:

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

rewrite440.0ms (3.8%)

Memory
-5.6MiB live, 1 056.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 674×accelerator-lowering-fma.f32
5 674×accelerator-lowering-fma.f64
4 494×/-lowering-/.f32
4 494×/-lowering-/.f64
3 890×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01869
113967
2155767
0843461
Stop Event
1×iter limit
1×node limit
Counts
13 → 1 433
Calls
Call 1
Inputs
(/ 1 (/ 1 x))
(/ 1 x)
(- x 1)
(/ 1 (/ (- x 0) (- (* x x) 0)))
(/ (- x 0) (- (* x x) 0))
(- x 0)
(- (* x x) 0)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(* x x)
(* (* x x) 2/15)
(+ -1/3 (* (* x x) 2/15))
Outputs
x
(+.f64 x #s(literal 0 binary64))
(+.f64 x (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) x)
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(-.f64 x #s(literal 0 binary64))
(-.f64 x (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 x (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x))
(-.f64 x (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(-.f64 x (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 x #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) x)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
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(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64))) x)
(/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/15 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2/15 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x #s(literal 2/15 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/15 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2/15 binary64))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8/3375 binary64)) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64))))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 2/15 binary64)) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -2/45 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8/3375 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8/3375 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8/3375 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -2/45 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8/3375 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8/3375 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -2/45 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)))) (neg.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8/3375 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8/3375 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))))

simplify322.0ms (2.8%)

Memory
38.7MiB live, 668.4MiB allocated
Algorithm
1×egg-herbie
Rules
10 718×accelerator-lowering-fma.f32
10 718×accelerator-lowering-fma.f64
3 598×*-lowering-*.f32
3 598×*-lowering-*.f64
1 206×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046716
1113716
2291710
3807710
42233710
54883710
66629710
08365672
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
x
x
x
x
x
x
x
x
x
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)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* 2/15 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)))
(* 2/15 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* 2/15 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* 2/15 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* -1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* 2/15 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* 2/15 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))

eval320.0ms (2.8%)

Memory
-5.8MiB live, 629.5MiB allocated
Compiler

Compiled 47 276 to 4 688 computations (90.1% saved)

prune224.0ms (1.9%)

Memory
-21.7MiB live, 550.5MiB allocated
Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New1 824111 835
Fresh202
Picked145
Done044
Total1 827191 846
Accuracy
100.0%
Counts
1 846 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
2.9%
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
11.4%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)))
▶20.3%
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
8.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
▶31.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
22.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (/.f64 (*.f64 x (*.f64 x x)) x)))
31.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))))
▶30.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
▶19.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
▶32.2%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
✓55.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓50.4%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓6.2%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓4.4%
(-.f64 x #s(literal 1 binary64))
✓55.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓53.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓55.7%
x
✓26.5%
#s(literal -1 binary64)
Compiler

Compiled 483 to 258 computations (46.6% saved)

simplify957.0ms (8.3%)

Memory
55.9MiB live, 1 342.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f64 (*.f64 x x) #s(literal 0 binary64))
✓cost-diff128
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x x) #s(literal 0 binary64)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
✓cost-diff640
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff128
(-.f64 (*.f64 x x) #s(literal 0 binary64))
✓cost-diff128
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (-.f64 (*.f64 x x) #s(literal 0 binary64)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
✓cost-diff384
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff512
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
✓cost-diff0
(*.f64 x x)
✓cost-diff128
(/.f64 x (*.f64 x x))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
Rules
37 996×accelerator-lowering-fma.f32
37 996×accelerator-lowering-fma.f64
4 088×*-lowering-*.f32
4 088×*-lowering-*.f64
2 696×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019157
16097
218873
391073
4187573
5307373
6542473
7684573
8731173
9767073
10778273
0908873
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ x (* x x)))
1
(/ x (* x x))
x
(* x x)
(/ (* x (* x x)) (* x x))
(* x (* x x))
x
(* x x)
(/ 1 (/ (/ 1 (* x x)) (/ 1 x)))
1
(/ (/ 1 (* x x)) (/ 1 x))
(/ 1 (* x x))
(* x x)
x
(/ 1 x)
(/ 1 (/ (* (/ 1 x) (* x x)) (- (* x x) 0)))
1
(/ (* (/ 1 x) (* x x)) (- (* x x) 0))
(* (/ 1 x) (* x x))
(/ 1 x)
x
(* x x)
(- (* x x) 0)
0
(/ 1 (/ (* (* x (* x x)) (/ 1 (* x x))) (- (* x x) 0)))
1
(/ (* (* x (* x x)) (/ 1 (* x x))) (- (* x x) 0))
(* (* x (* x x)) (/ 1 (* x x)))
(* x (* x x))
x
(* x x)
(/ 1 (* x x))
(- (* x x) 0)
0
Outputs
(/ 1 (/ x (* x x)))
x
1
#s(literal 1 binary64)
(/ x (* x x))
(/.f64 #s(literal 1 binary64) x)
x
(* x x)
(*.f64 x x)
(/ (* x (* x x)) (* x x))
x
(* x (* x x))
(*.f64 (*.f64 x x) x)
x
(* x x)
(*.f64 x x)
(/ 1 (/ (/ 1 (* x x)) (/ 1 x)))
x
1
#s(literal 1 binary64)
(/ (/ 1 (* x x)) (/ 1 x))
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (/ (* (/ 1 x) (* x x)) (- (* x x) 0)))
x
1
#s(literal 1 binary64)
(/ (* (/ 1 x) (* x x)) (- (* x x) 0))
(/.f64 #s(literal 1 binary64) x)
(* (/ 1 x) (* x x))
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* x x)
(*.f64 x x)
(- (* x x) 0)
(*.f64 x x)
0
#s(literal 0 binary64)
(/ 1 (/ (* (* x (* x x)) (/ 1 (* x x))) (- (* x x) 0)))
x
1
#s(literal 1 binary64)
(/ (* (* x (* x x)) (/ 1 (* x x))) (- (* x x) 0))
(/.f64 #s(literal 1 binary64) x)
(* (* x (* x x)) (/ 1 (* x x)))
x
(* x (* x x))
(*.f64 (*.f64 x x) x)
x
(* x x)
(*.f64 x x)
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(- (* x x) 0)
(*.f64 x x)
0
#s(literal 0 binary64)

localize144.0ms (1.2%)

Memory
-82.7MiB live, 208.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy55.0%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x x) #s(literal 0 binary64)))
✓accuracy35.0%
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
✓accuracy55.0%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (-.f64 (*.f64 x x) #s(literal 0 binary64)))
✓accuracy55.0%
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy54.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy35.1%
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
✓accuracy55.0%
(/.f64 x (*.f64 x x))
Samples
108.0ms256×0valid
Compiler

Compiled 187 to 22 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-div: 56.0ms (71.9% of total)
ival-mult: 20.0ms (25.7% of total)
ival-sub: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (/ 1 (/ x (* x x)))>
#<alt (/ x (* x x))>
#<alt (* x x)>
#<alt (/ (* x (* x x)) (* x x))>
#<alt (* x (* x x))>
#<alt (/ (/ 1 (* x x)) (/ 1 x))>
#<alt (/ 1 (/ (/ 1 (* x x)) (/ 1 x)))>
#<alt (/ 1 (* x x))>
#<alt (* (/ 1 x) (* x x))>
#<alt (/ 1 (/ (* (/ 1 x) (* x x)) (- (* x x) 0)))>
#<alt (/ (* (/ 1 x) (* x x)) (- (* x x) 0))>
#<alt (- (* x x) 0)>
#<alt (* (* x (* x x)) (/ 1 (* x x)))>
#<alt (/ 1 (/ (* (* x (* x x)) (/ 1 (* x x))) (- (* x x) 0)))>
#<alt (/ (* (* x (* x x)) (/ 1 (* x x))) (- (* x x) 0))>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<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 (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
Calls

45 calls:

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

rewrite590.0ms (5.1%)

Memory
24.5MiB live, 963.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 190×accelerator-lowering-fma.f32
4 190×accelerator-lowering-fma.f64
1 492×*-lowering-*.f32
1 492×*-lowering-*.f64
1 130×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01983
114431
2116931
0458931
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
15 → 5 387
Calls
Call 1
Inputs
(/ 1 (/ x (* x x)))
(/ x (* x x))
(* x x)
(/ (* x (* x x)) (* x x))
(* x (* x x))
(/ (/ 1 (* x x)) (/ 1 x))
(/ 1 (/ (/ 1 (* x x)) (/ 1 x)))
(/ 1 (* x x))
(* (/ 1 x) (* x x))
(/ 1 (/ (* (/ 1 x) (* x x)) (- (* x x) 0)))
(/ (* (/ 1 x) (* x x)) (- (* x x) 0))
(- (* x x) 0)
(* (* x (* x x)) (/ 1 (* x x)))
(/ 1 (/ (* (* x (* x x)) (/ 1 (* x x))) (- (* x x) 0)))
(/ (* (* x (* x x)) (/ 1 (* x x))) (- (* x x) 0))
Outputs
x
(+.f64 x #s(literal 0 binary64))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(+.f64 x (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)) x)
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(-.f64 x #s(literal 0 binary64))
(-.f64 x (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))))
(-.f64 x (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)))
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(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3/2 binary64))))

simplify57.0ms (0.5%)

Memory
27.8MiB live, 144.5MiB allocated
Algorithm
1×egg-herbie
Rules
6×/-lowering-/.f32
6×/-lowering-/.f64
6×*-lowering-*.f32
6×*-lowering-*.f64
4×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08396
113396
215396
015396
Stop Event
1×iter limit
1×saturated
Counts
180 → 180
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
x
x
x
x
x
x
x
x
(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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
x
x
x
x
x
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))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

eval1.4s (12.4%)

Memory
63.4MiB live, 1 622.0MiB allocated
Compiler

Compiled 177 169 to 9 137 computations (94.8% saved)

prune618.0ms (5.3%)

Memory
3.8MiB live, 1 161.8MiB allocated
Pruning

31 alts after pruning (21 fresh and 10 done)

PrunedKeptTotal
New7 557187 575
Fresh336
Picked325
Done088
Total7 563317 594
Accuracy
100.0%
Counts
7 594 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.3%
(/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
31.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
2.9%
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
20.2%
(/.f64 (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
20.2%
(/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) (*.f64 x x))
11.4%
(/.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))))
14.1%
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
✓20.3%
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
31.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) x)))
31.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
15.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
31.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
55.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) x))))
31.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))))
30.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
8.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
8.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))))))
19.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
22.6%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 x x) x) x)))
✓32.2%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
✓55.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
20.0%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))))
✓50.4%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓6.2%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓4.4%
(-.f64 x #s(literal 1 binary64))
14.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
13.7%
(*.f64 (*.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
✓55.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓53.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓55.7%
x
✓26.5%
#s(literal -1 binary64)
Compiler

Compiled 1 162 to 426 computations (63.3% saved)

regimes87.0ms (0.8%)

Memory
-0.3MiB live, 156.0MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (/.f64 (*.f64 x (*.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) (*.f64 x x))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
#s(literal -1 binary64)
Calls

7 calls:

14.0ms
(*.f64 #s(literal -2 binary64) x)
13.0ms
x
12.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
12.0ms
y
12.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
100.0%3x
64.4%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)

regimes15.0ms (0.1%)

Memory
-10.2MiB live, 28.6MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (/.f64 (*.f64 x (*.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) (*.f64 x x))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
Outputs
#s(literal -1 binary64)
x
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
78.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
5.9MiB live, 5.9MiB 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

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
26.5%1y
26.5%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0002309260211248997
9139.916319506172
0.0ms
-35222019.03460155
-0.0014452635435273043
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch16.0ms (0.1%)

Memory
-3.5MiB live, 35.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-4569.958159753086
-0.00011546301056244986
Samples
9.0ms144×0valid
Compiler

Compiled 87 to 78 computations (10.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (37.5% of total)
ival-div: 1.0ms (18.8% of total)
ival-sub: 1.0ms (18.8% of total)
ival-add: 1.0ms (18.8% of total)
ival-mult: 1.0ms (18.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
10×+-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02645
13845
24145
34645
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -20000000 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 7378697629483821/18446744073709551616 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x)
#s(literal -1 binary64)
Outputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -20000000 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 7378697629483821/18446744073709551616 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -20000000 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 7378697629483821/18446744073709551616 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness1.2s (10.4%)

Memory
-70.0MiB live, 1 306.7MiB allocated
Rules
15 342×accelerator-lowering-fma.f32
15 342×accelerator-lowering-fma.f64
12 394×accelerator-lowering-fma.f32
12 394×accelerator-lowering-fma.f64
3 260×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049358
1119358
2234348
3604348
41194348
51764348
62024348
72599348
83669348
95745348
106685348
117091348
127233348
137295348
147337348
08101327
01151016
1321965
2800934
32369922
46748918
08210860
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 109 to 73 computations (33% saved)

preprocess29.0ms (0.2%)

Memory
21.3MiB live, 59.3MiB allocated
Remove

(abs y)

Compiler

Compiled 198 to 124 computations (37.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...