Logistic function from Lakshay Garg

Time bar (total: 7.5s)

analyze0.0ms (0%)

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

Compiled 12 to 12 computations (0% saved)

sample1.6s (21.7%)

Memory
31.4MiB live, 1 873.9MiB allocated
Samples
464.0ms1 381×2valid
412.0ms2 419×1valid
277.0ms4 276×0valid
73.0ms180×3valid
Precisions
Click to see histograms. Total time spent on operations: 993.0ms
ival-exp: 501.0ms (50.5% of total)
ival-div: 158.0ms (15.9% of total)
ival-mult: 85.0ms (8.6% of total)
ival-add: 76.0ms (7.7% of total)
adjust: 75.0ms (7.6% of total)
ival-sub: 72.0ms (7.3% of total)
exact: 15.0ms (1.5% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess30.0ms (0.4%)

Memory
9.4MiB live, 48.2MiB allocated
Algorithm
egg-herbie
Rules
96×sub-neg
56×exp-prod
56×+-commutative
32×associate-+l-
32×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02354
14752
28950
313450
416850
521950
627150
731350
836550
943250
1046950
1148650
1250150
1351450
1452250
1552650
0910
01410
12310
22610
02610
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
Symmetry

(abs y)

explain190.0ms (2.5%)

Memory
-7.8MiB live, 282.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1210-0-(-.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))cancellation1210
Confusion
Predicted +Predicted -
+1210
-0135
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12100
-00135
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0135
1121
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms86×2valid
21.0ms274×0valid
20.0ms136×1valid
9.0ms16×3valid
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 (46.9% of total)
ival-mult: 9.0ms (16.2% of total)
ival-div: 6.0ms (10.8% of total)
adjust: 5.0ms (9% of total)
ival-sub: 4.0ms (7.2% of total)
ival-add: 4.0ms (7.2% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(-.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)

simplify5.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Algorithm
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
lower-+.f32
lower-+.f64
lower-exp.f32
exp-prod
lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01435
12335
22635
02635
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.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 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
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 (/.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 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x

localize80.0ms (1.1%)

Memory
-14.5MiB live, 60.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy56.6%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Samples
13.0ms43×2valid
10.0ms68×1valid
8.0ms137×0valid
4.0ms3valid
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-exp: 11.0ms (44.2% of total)
ival-div: 3.0ms (12% of total)
ival-mult: 3.0ms (12% of total)
ival-add: 3.0ms (12% of total)
adjust: 2.0ms (8% of total)
ival-sub: 2.0ms (8% of total)
exact: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))>
#<alt (exp.f64 (*.f64 #s(literal -2 binary64) 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))))

rewrite240.0ms (3.2%)

Memory
16.8MiB live, 369.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 790×lower-fma.f64
3 790×lower-fma.f32
3 628×lower-*.f32
3 626×lower-*.f64
2 806×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01428
15328
237128
3596928
0813628
Stop Event
iter limit
node limit
iter limit
Counts
4 → 282
Calls
Call 1
Inputs
(-.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 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.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) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -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 #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)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.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) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.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) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.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 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.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) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
(fma.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (fma.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (fma.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))))
(*.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (fma.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (pow.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal -4 binary64) (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))))

simplify432.0ms (5.7%)

Memory
-6.6MiB live, 542.3MiB allocated
Algorithm
egg-herbie
Rules
15 342×lower-fma.f64
15 342×lower-fma.f32
3 260×lower-*.f64
3 260×lower-*.f32
1 930×lower-+.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
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(-.f64 #s(literal 1 binary64) (+.f64 x x))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))

simplify92.0ms (1.2%)

Memory
-19.7MiB live, 95.8MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06166654
16176654
06176654
Stop Event
saturated
saturated
Counts
282 → 0
Calls
Call 1
Inputs
(+.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)))))
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(/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 x #s(literal -4 binary64)))))
(/.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 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 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)))) (neg.f64 (neg.f64 (-.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 #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) (/.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) (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)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (fma.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (fma.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) (+.f64 x x)))) (*.f64 (-.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 (*.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))) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) (+.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -6 binary64)))))) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -6 binary64)))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.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 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64)))) (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (fma.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (fma.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))))
(*.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (fma.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (pow.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal -4 binary64) (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
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)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (fma.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (fma.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))))
(*.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (fma.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (pow.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal -4 binary64) (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))))

eval9.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Compiler

Compiled 1 030 to 64 computations (93.8% saved)

prune7.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New88694
Fresh000
Picked011
Done000
Total88795
Accuracy
100.0%
Counts
95 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.7%
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
30.1%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
30.0%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
29.8%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
56.5%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.8%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
4.3%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Compiler

Compiled 138 to 98 computations (29% saved)

simplify296.0ms (3.9%)

Memory
-8.9MiB live, 469.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal -2 binary64) (+.f64 x x))
cost-diff0
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff0
(+.f64 x x)
cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x x))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
cost-diff192
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff384
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff192
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
Rules
12 652×lower-fma.f32
12 648×lower-fma.f64
3 426×lower-+.f32
3 420×lower-+.f64
2 510×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01999
03691
16791
211691
353991
4406387
5627987
0806482
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
#s(literal -1/3 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
x
(+.f64 #s(literal -2 binary64) (+.f64 x x))
#s(literal -2 binary64)
(+.f64 x x)
#s(literal 1 binary64)
Outputs
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
#s(literal -1/3 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
x
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x (+.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x (+.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(fma.f64 x (+.f64 x (+.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
x
(+.f64 #s(literal -2 binary64) (+.f64 x x))
(+.f64 x (+.f64 x #s(literal -2 binary64)))
#s(literal -2 binary64)
(+.f64 x x)
#s(literal 1 binary64)

localize128.0ms (1.7%)

Memory
10.5MiB live, 167.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal -2 binary64) (+.f64 x x))
accuracy100.0%
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
accuracy99.2%
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
accuracy56.6%
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x x))
accuracy100.0%
(+.f64 x x)
accuracy99.7%
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
accuracy56.6%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy56.6%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
accuracy99.9%
(*.f64 x (*.f64 x x))
Samples
48.0ms66×1valid
29.0ms45×2valid
20.0ms137×0valid
3.0ms3valid
1.0ms4valid
Compiler

Compiled 107 to 24 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-add: 45.0ms (56.4% of total)
ival-sub: 9.0ms (11.3% of total)
adjust: 7.0ms (8.8% of total)
ival-mult: 7.0ms (8.8% of total)
ival-div: 6.0ms (7.5% of total)
const: 4.0ms (5% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
-47.5MiB live, 10.1MiB allocated
Counts
14 → 156
Calls
Call 1
Inputs
#<alt (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))>
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))>
#<alt (-.f64 #s(literal 2 binary64) (+.f64 x x))>
#<alt (+.f64 x x)>
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))>
#<alt (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))>
#<alt (+.f64 #s(literal -2 binary64) (+.f64 x x))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 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 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 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 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 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* 2 x) 2)>
#<alt (- (* 2 x) 2)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
Calls

39 calls:

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

rewrite106.0ms (1.4%)

Memory
30.9MiB live, 224.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 678×lower-fma.f32
1 674×lower-fma.f64
468×lower-/.f32
466×lower-/.f64
456×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01984
03669
117167
0172060
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
14 → 582
Calls
Call 1
Inputs
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 x x)
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(+.f64 #s(literal -2 binary64) (+.f64 x x))
Outputs
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (neg.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 (fma.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) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (neg.f64 x)))
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(fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (+.f64 x x) #s(literal -4 binary64))))
(/.f64 (+.f64 (+.f64 x x) #s(literal 8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 8 binary64))) (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64))) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x) (fma.f64 x x (*.f64 (-.f64 #s(literal 2 binary64) x) x))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (+.f64 (-.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 (+.f64 x x) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(+.f64 x (+.f64 x #s(literal -2 binary64)))
(+.f64 (+.f64 x x) #s(literal -2 binary64))
(+.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (+.f64 x x))
(+.f64 (+.f64 x #s(literal -2 binary64)) x)
(-.f64 (+.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal -2 binary64) (+.f64 x x))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(-.f64 (-.f64 #s(literal -2 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 x #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 x (+.f64 x x) #s(literal -2 binary64))
(fma.f64 x (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 x #s(literal -2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 (*.f64 x x) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) x (+.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) x #s(literal -2 binary64))
(fma.f64 (+.f64 x x) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) #s(literal -2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal -2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal -2 binary64))
(fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (fma.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) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (+.f64 (+.f64 x x) #s(literal 8 binary64)) (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64)) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64)) (-.f64 (+.f64 x x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64))) (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -2 binary64)) x))))
(/.f64 (-.f64 (+.f64 x x) #s(literal 8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal -8 binary64) (+.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64))) (*.f64 x x)) (-.f64 (+.f64 x #s(literal -2 binary64)) x))
(*.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))

simplify338.0ms (4.5%)

Memory
6.8MiB live, 450.3MiB allocated
Algorithm
egg-herbie
Rules
11 578×lower-fma.f64
11 578×lower-fma.f32
2 680×lower-*.f64
2 680×lower-*.f32
1 420×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115876
1323825
2811812
32410800
46134796
08188747
Stop Event
iter limit
node limit
Counts
156 → 139
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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)))
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)
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)
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))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* 2 x) 2)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
-2
(- (* 2 x) 2)
(- (* 2 x) 2)
(- (* 2 x) 2)
(* 2 x)
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* 2 x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
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(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
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(pow x 3)
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(pow x 3)
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x
x
x
x
x
x
x
x
x
x
x
x
1
#s(literal 1 binary64)
(+ 1 x)
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x
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x
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(* x (+ 1 (/ 1 x)))
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(* x (+ 1 (/ 1 x)))
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1
#s(literal 1 binary64)
(+ 1 x)
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(+ 1 (* x (+ 1 x)))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
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(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 x (fma.f64 x x x) x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64)))
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#s(literal -1 binary64)
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(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
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(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
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#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
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(-.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)
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2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* -2 x))
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(* -2 x)
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(* x (- (* 2 (/ 1 x)) 2))
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(* 2 x)
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(* 2 x)
(*.f64 x #s(literal 2 binary64))
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (*.f64 x (*.f64 x x)))
(* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))
(fma.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) x)
(* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))
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#s(literal -1 binary64)
(- (/ 1 (pow x 2)) 1)
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(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (*.f64 x x)))
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#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 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (*.f64 x x)))
1
#s(literal 1 binary64)
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(+ 1 (* x (+ 1 (* -1 (pow x 2)))))
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(fma.f64 x (fma.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 1 (pow x 2))
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(/ (+ 1 (/ 1 x)) (pow x 2))
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(/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/ 1 (pow x 2))
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(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))
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2
#s(literal 2 binary64)
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(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* 2 (pow x 2))
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(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
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(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
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#s(literal -2 binary64)
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(* -1 (* x (- (* 2 (/ 1 x)) 2)))
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simplify57.0ms (0.8%)

Memory
-21.5MiB live, 95.5MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06366529
16376529
06376529
Stop Event
saturated
saturated
Counts
582 → 0
Calls
Call 1
Inputs
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)
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(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 (fma.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) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
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x
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(+.f64 #s(literal -2 binary64) (+.f64 x x))
(+.f64 (+.f64 x #s(literal -2 binary64)) x)
(-.f64 (+.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal -2 binary64) (+.f64 x x))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(-.f64 (-.f64 #s(literal -2 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 x #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 x (+.f64 x x) #s(literal -2 binary64))
(fma.f64 x (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 x #s(literal -2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 (*.f64 x x) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) x (+.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) x #s(literal -2 binary64))
(fma.f64 (+.f64 x x) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) #s(literal -2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal -2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal -2 binary64))
(fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (fma.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) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (+.f64 (+.f64 x x) #s(literal 8 binary64)) (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64)) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64)) (-.f64 (+.f64 x x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64))) (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -2 binary64)) x))))
(/.f64 (-.f64 (+.f64 x x) #s(literal 8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal -8 binary64) (+.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64))) (*.f64 x x)) (-.f64 (+.f64 x #s(literal -2 binary64)) x))
(*.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
Outputs
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (neg.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 (fma.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) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
#s(literal 0 binary64)
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)))
(-.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)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))))
(-.f64 (/.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))))
(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))
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(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 x #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 x (+.f64 x x) #s(literal -2 binary64))
(fma.f64 x (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 x #s(literal -2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 x x) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 (*.f64 x x) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) x (+.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) x #s(literal -2 binary64))
(fma.f64 (+.f64 x x) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) #s(literal -2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal -2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal -2 binary64))
(fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (fma.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) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (+.f64 (+.f64 x x) #s(literal 8 binary64)) (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64)) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64)) (-.f64 (+.f64 x x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal -4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64))) (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -2 binary64)) x))))
(/.f64 (-.f64 (+.f64 x x) #s(literal 8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal -8 binary64) (+.f64 x x)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64))) (*.f64 x x)) (-.f64 (+.f64 x #s(literal -2 binary64)) x))
(*.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))

eval32.0ms (0.4%)

Memory
13.9MiB live, 53.5MiB allocated
Compiler

Compiled 2 700 to 104 computations (96.1% saved)

prune7.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2993302
Fresh101
Picked235
Done011
Total3027309
Accuracy
100.0%
Counts
309 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(fma.f64 x x x)
47.7%
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
56.5%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.8%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
47.6%
(-.f64 x (*.f64 x (*.f64 x x)))
4.3%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
28.3%
#s(literal -1 binary64)
Compiler

Compiled 52 to 36 computations (30.8% saved)

simplify1.2s (15.8%)

Memory
-25.2MiB live, 450.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(-.f64 x (*.f64 x (*.f64 x x)))
Rules
21 568×lower-fma.f32
21 566×lower-fma.f64
5 868×lower-+.f64
5 868×lower-+.f32
4 396×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0622
01018
12218
23818
35918
48218
518018
624618
742018
879018
9141918
10257818
11276418
12288318
13295718
14297718
15298118
0802218
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 x x x)
x
Outputs
#s(literal -1 binary64)
(-.f64 x (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 x (neg.f64 x)) x)
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 x x x)
x

localize20.0ms (0.3%)

Memory
20.3MiB live, 20.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x x x)
accuracy100.0%
(-.f64 x (*.f64 x (*.f64 x x)))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 x (*.f64 x x))
Samples
12.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.5% of total)
ival-sub: 1.0ms (16.8% of total)
ival-add: 1.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 x (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x x x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(- x (* x (* x x)))
0.0ms
x
@0
(- x (* x (* x x)))
0.0ms
x
@inf
(- x (* x (* x x)))
0.0ms
x
@-inf
(+ (* x x) x)
0.0ms
x
@inf
(+ (* x x) x)

rewrite463.0ms (6.1%)

Memory
-17.6MiB live, 658.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 254×lower-fma.f32
7 252×lower-fma.f64
4 332×lower-/.f64
4 332×lower-/.f32
3 374×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0519
0915
14315
229915
3280615
0903715
Stop Event
iter limit
node limit
iter limit
Counts
4 → 329
Calls
Call 1
Inputs
(-.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 x x x)
Outputs
(+.f64 x (neg.f64 (*.f64 x (*.f64 x x))))
(+.f64 (neg.f64 (*.f64 x (*.f64 x x))) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))
(-.f64 x (*.f64 x (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)))))
(-.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 x (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x))) (-.f64 x (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) x)) (-.f64 x (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)))))
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x x) x))) (*.f64 (-.f64 (*.f64 x x) x) (neg.f64 (*.f64 x x)))) (*.f64 (-.f64 (*.f64 x x) x) (neg.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) x) (*.f64 x x))) (*.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 (*.f64 x x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x x) x))) (*.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) x)) (*.f64 (neg.f64 (-.f64 (*.f64 x x) x)) (*.f64 x x))) (*.f64 (neg.f64 (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 (*.f64 x x) x) (*.f64 x x))) (*.f64 (neg.f64 (-.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (*.f64 x x) x)) (/.f64 (-.f64 (*.f64 x x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 x x) x))) (*.f64 (neg.f64 (-.f64 (*.f64 x x) x)) (neg.f64 (*.f64 x x)))) (*.f64 (neg.f64 (-.f64 (*.f64 x x) x)) (neg.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (*.f64 (-.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 x x) x) (*.f64 x x)))) (neg.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))) (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))))) (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x x) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(*.f64 (fma.f64 x x x) (/.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (/.f64 (fma.f64 x x x) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))))
(*.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)))))
(*.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (fma.f64 x x x))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (fma.f64 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 (*.f64 x (-.f64 x (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 x (-.f64 x (*.f64 x x))) (-.f64 (*.f64 x (-.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))))) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (fma.f64 x (fma.f64 x (*.f64 x x) x) (*.f64 x (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x))))

simplify263.0ms (3.5%)

Memory
26.5MiB live, 625.1MiB allocated
Algorithm
egg-herbie
Rules
10 980×lower-fma.f64
10 980×lower-fma.f32
4 656×lower-*.f64
4 656×lower-*.f32
1 456×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022205
160187
2143178
3428178
41133178
52642178
65132178
08097169
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (*.f64 x (*.f64 x x)))
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (*.f64 x (*.f64 x x)))
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(*.f64 x (*.f64 x (neg.f64 x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 x (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(*.f64 x (*.f64 x (neg.f64 x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 x (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 x (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 x (*.f64 x (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)

simplify89.0ms (1.2%)

Memory
-13.7MiB live, 260.6MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091315309
191415309
091415309
Stop Event
saturated
saturated
Counts
329 → 0
Calls
Call 1
Inputs
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(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (fma.f64 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 (*.f64 x (-.f64 x (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 x (-.f64 x (*.f64 x x))) (-.f64 (*.f64 x (-.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))))) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (fma.f64 x (fma.f64 x (*.f64 x x) x) (*.f64 x (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x))))
Outputs
(+.f64 x (neg.f64 (*.f64 x (*.f64 x x))))
(+.f64 (neg.f64 (*.f64 x (*.f64 x x))) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))
(-.f64 x (*.f64 x (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)))))
(-.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 x (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x))) (-.f64 x (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) x)) (-.f64 x (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 x #s(literal 27 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 x #s(literal 27 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 27 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) x)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) (fma.f64 x (*.f64 x x) x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) (fma.f64 x (*.f64 x x) x)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))))) (/.f64 (pow.f64 x #s(literal 27 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x x) x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (*.f64 x x) x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
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(*.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (fma.f64 x x x))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (fma.f64 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 (*.f64 x (-.f64 x (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 x (-.f64 x (*.f64 x x))) (-.f64 (*.f64 x (-.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))))) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (fma.f64 x (fma.f64 x (*.f64 x x) x) (*.f64 x (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x))))

eval8.0ms (0.1%)

Memory
23.2MiB live, 23.2MiB allocated
Compiler

Compiled 572 to 9 computations (98.4% saved)

prune7.0ms (0.1%)

Memory
-28.4MiB live, 11.7MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New91192
Fresh000
Picked033
Done044
Total91899
Accuracy
100.0%
Counts
99 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(fma.f64 x x x)
47.7%
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
56.5%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.8%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
47.6%
(-.f64 x (*.f64 x (*.f64 x x)))
4.3%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
4.2%
(*.f64 x x)
28.3%
#s(literal -1 binary64)
Compiler

Compiled 57 to 39 computations (31.6% saved)

simplify4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
Rules
lift-*.f64
lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024
034
034
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x x)
x
Outputs
(*.f64 x x)
x

localize10.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
Samples
7.0ms256×0valid
Compiler

Compiled 6 to 5 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (98.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#<alt (*.f64 x x)>
Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

3 calls:

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

rewrite112.0ms (1.5%)

Memory
7.2MiB live, 200.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 136×lower-pow.f64
2 136×lower-pow.f32
1 588×lower-*.f64
1 588×lower-*.f32
1 412×prod-exp
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
023
033
153
2123
3283
4763
52311
615151
715401
816631
929071
082821
Stop Event
iter limit
node limit
iter limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 x x)
Outputs
#s(literal 1 binary64)
x

simplify5.0ms (0.1%)

Memory
-31.5MiB live, 6.6MiB allocated
Algorithm
egg-herbie
Rules
lower-*.f64
lower-pow.f64
unpow2
lower-*.f32
lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0336
1436
0436
Stop Event
iter limit
saturated
Counts
12 → 12
Calls
Call 1
Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(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)

simplify3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
142
042
Stop Event
saturated
saturated
Counts
2 → 0
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
Outputs
#s(literal 1 binary64)
x

eval2.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Compiler

Compiled 74 to 3 computations (95.9% saved)

prune5.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New24024
Fresh000
Picked011
Done077
Total24832
Accuracy
100.0%
Counts
32 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(fma.f64 x x x)
47.7%
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
56.5%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.8%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
47.6%
(-.f64 x (*.f64 x (*.f64 x x)))
4.3%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
4.2%
(*.f64 x x)
28.3%
#s(literal -1 binary64)
Compiler

Compiled 135 to 73 computations (45.9% saved)

regimes28.0ms (0.4%)

Memory
12.5MiB live, 50.0MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x x x)
(-.f64 x (*.f64 x (*.f64 x x)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Calls

7 calls:

6.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.0ms
(*.f64 #s(literal -2 binary64) x)
4.0ms
x
4.0ms
y
3.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%3x
63.3%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)

regimes31.0ms (0.4%)

Memory
-3.4MiB live, 39.7MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x x x)
(-.f64 x (*.f64 x (*.f64 x x)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
Outputs
(fma.f64 x x x)
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
Calls

6 calls:

15.0ms
(*.f64 #s(literal -2 binary64) x)
4.0ms
x
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
3.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
73.8%2x
73.8%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
73.8%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
73.8%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
73.8%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
73.8%2(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes22.0ms (0.3%)

Memory
-2.6MiB live, 34.4MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x x x)
(-.f64 x (*.f64 x (*.f64 x x)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
Outputs
(fma.f64 x x x)
#s(literal -1 binary64)
Calls

6 calls:

6.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
3.0ms
(*.f64 #s(literal -2 binary64) x)
3.0ms
x
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
3.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
73.8%2(*.f64 #s(literal -2 binary64) x)
73.8%2x
73.8%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
73.8%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
73.8%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
73.8%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes24.0ms (0.3%)

Memory
-16.4MiB live, 51.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal -1 binary64)
Calls

7 calls:

8.0ms
y
2.0ms
x
2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
28.3%1y
31.4%2x
31.4%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
31.4%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
31.4%2(*.f64 #s(literal -2 binary64) x)
31.4%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
31.4%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 47 to 39 computations (17% saved)

regimes10.0ms (0.1%)

Memory
24.4MiB live, 24.4MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 x x)
Outputs
#s(literal -1 binary64)
(*.f64 x x)
Calls

6 calls:

2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
x
2.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
30.2%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
30.2%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
30.5%2(*.f64 #s(literal -2 binary64) x)
30.5%2x
30.2%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
30.2%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes249.0ms (3.3%)

Memory
-207.8MiB live, 22.8MiB allocated
Accuracy

Total -16.4b remaining (-35.7%)

Threshold costs -16.4b (-35.7%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
#s(literal -1 binary64)
Calls

6 calls:

242.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
28.3%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
28.3%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
28.3%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
28.3%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
28.3%1(*.f64 #s(literal -2 binary64) x)
28.3%1x
Compiler

Compiled 44 to 37 computations (15.9% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4503690406689219e-6
17.51239748957527
0.0ms
-15.938316677668137
-1.599501589225838e-10
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000227995
1.0000014503700925
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000014503700925
40321584.92357644
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000014503700925
40321584.92357644
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch30.0ms (0.4%)

Memory
11.4MiB live, 53.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-1.1117528469178619e-150
-4.917527016235118e-158
Samples
18.0ms144×1valid
Compiler

Compiled 105 to 87 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 5.0ms (37.8% of total)
adjust: 2.0ms (15.1% of total)
ival-div: 2.0ms (15.1% of total)
ival-add: 1.0ms (7.6% of total)
ival-mult: 1.0ms (7.6% of total)
ival-sub: 1.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
-19.3MiB live, 19.3MiB allocated
Algorithm
egg-herbie
Rules
10×+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
mul-1-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03899
14999
25499
36099
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -10 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 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 4503604130970123/4503599627370496 binary64)) (fma.f64 x x x) (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (fma.f64 x x x) #s(literal -1 binary64))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(if (<=.f64 x #s(literal -5736422885728743/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
Outputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -10 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 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -10 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 4722366482869645/2361183241434822606848 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 4503604130970123/4503599627370496 binary64)) (fma.f64 x x x) (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 4503604130970123/4503599627370496 binary64)) (fma.f64 x x x) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (fma.f64 x x x) #s(literal -1 binary64))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(if (<=.f64 x #s(literal -5736422885728743/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)

soundness1.2s (15.8%)

Memory
8.7MiB live, 496.5MiB allocated
Rules
15 342×lower-fma.f64
15 342×lower-fma.f32
11 578×lower-fma.f64
11 578×lower-fma.f32
10 980×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115876
1323825
2811812
32410800
46134796
08188747
022205
160187
2143178
3428178
41133178
52642178
65132178
08097169
049358
1119358
2234348
3604348
41194348
51764348
62024348
72599348
83669348
95745348
106685348
117091348
127233348
137295348
147337348
08101327
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 246 to 141 computations (42.7% saved)

preprocess44.0ms (0.6%)

Memory
-5.5MiB live, 73.5MiB allocated
Remove

(abs y)

Compiler

Compiled 310 to 140 computations (54.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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