Hyperbolic tangent

Time bar (total: 12.1s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 15 to 9 computations (40% saved)

sample4.4s (36.4%)

Memory
-116.0MiB live, 5 809.8MiB allocated
Samples
1.7s2 910×2valid
1.0s4 821×1valid
815.0ms8 108×0exit
32.0ms525×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-exp: 1.9s (64.9% of total)
ival-div: 343.0ms (11.6% of total)
ival-add: 215.0ms (7.3% of total)
adjust: 201.0ms (6.8% of total)
ival-sub: 182.0ms (6.1% of total)
ival-neg: 77.0ms (2.6% of total)
ival-true: 13.0ms (0.4% of total)
ival-assert: 8.0ms (0.3% of total)
Bogosity

preprocess124.0ms (1%)

Memory
9.4MiB live, 92.6MiB allocated
Algorithm
egg-herbie
Rules
528×lower-fma.f64
528×lower-fma.f32
336×lower-*.f64
336×lower-*.f32
320×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
13227
28026
319926
446826
5113026
6154726
7158526
8160426
9162326
10165726
11166926
0713
01313
12513
24213
36713
412213
527613
646213
768213
890513
9105813
10118613
11123313
0123313
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
Symmetry

(negabs x)

explain502.0ms (4.2%)

Memory
-50.4MiB live, 279.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2490-3(0.00611764214499798)(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
10-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-(exp.f64 x)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))cancellation2463
/.f64(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))o/o10
(exp.f64 x)overflow1
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))overflow1
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))overflow1
(exp.f64 x)overflow1
Confusion
Predicted +Predicted -
+2473
-06
Precision
1.0
Recall
0.988
Confusion?
Predicted +Predicted MaybePredicted -
+24730
-024
Precision?
0.9920634920634921
Recall?
1.0
Freqs
test
numberfreq
09
1247
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
235.0ms190×2valid
49.0ms288×1valid
2.0ms34×0valid
Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 264.0ms
ival-exp: 233.0ms (88.2% of total)
adjust: 11.0ms (4.2% of total)
ival-div: 7.0ms (2.6% of total)
ival-add: 5.0ms (1.9% of total)
ival-sub: 5.0ms (1.9% of total)
ival-neg: 2.0ms (0.8% 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 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.9%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 14 to 7 computations (50% saved)

simplify114.0ms (0.9%)

Memory
5.9MiB live, 43.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff11648
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Rules
528×lower-fma.f64
528×lower-fma.f32
336×lower-*.f64
336×lower-*.f32
224×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01333
12533
24233
36733
412233
527633
646233
768233
890533
9105833
10118633
11123333
0123333
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

localize293.0ms (2.4%)

Memory
-6.9MiB live, 109.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
accuracy99.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
accuracy11.2%
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Samples
171.0ms95×2valid
110.0ms144×1valid
1.0ms17×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 270.0ms
ival-sub: 133.0ms (49.2% of total)
ival-exp: 124.0ms (45.9% of total)
adjust: 5.0ms (1.9% of total)
ival-div: 4.0ms (1.5% of total)
ival-add: 3.0ms (1.1% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 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 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
1.0ms
x
@inf
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
1.0ms
x
@0
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
0.0ms
x
@0
(- (exp x) (exp (neg x)))
0.0ms
x
@0
(+ (exp x) (exp (neg x)))

rewrite300.0ms (2.5%)

Memory
10.8MiB live, 516.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 904×lower-*.f64
3 904×lower-*.f32
3 826×lower-/.f32
3 824×lower-/.f64
2 870×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0730
01315
15515
242415
3708015
0806215
Stop Event
iter limit
node limit
iter limit
Counts
5 → 644
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (exp.f64 (+.f64 x x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (expm1.f64 (-.f64 (neg.f64 x) x))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (expm1.f64 (-.f64 (neg.f64 x) x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x)) (exp.f64 (+.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))) (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))))
(+.f64 (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))) (*.f64 (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (tanh.f64 x))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (tanh.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (neg.f64 (tanh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (tanh.f64 x) (tanh.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (tanh.f64 x) (tanh.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (/.f64 (tanh.f64 x) (tanh.f64 x))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (/.f64 (tanh.f64 x) (tanh.f64 x))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (exp.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64))))
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simplify327.0ms (2.7%)

Memory
10.9MiB live, 604.7MiB allocated
Algorithm
egg-herbie
Rules
12 890×lower-fma.f64
12 890×lower-fma.f32
4 156×lower-*.f64
4 156×lower-*.f32
2 544×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090425
1259424
2604414
31659414
42630414
54160414
64872414
76500414
08123386
Stop Event
iter limit
node limit
Counts
60 → 59
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))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 2 x)
(+.f64 x x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

eval91.0ms (0.8%)

Memory
-17.5MiB live, 213.4MiB allocated
Compiler

Compiled 17 810 to 1 744 computations (90.2% saved)

prune120.0ms (1%)

Memory
36.5MiB live, 237.1MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New7434747
Fresh000
Picked101
Done000
Total7444748
Accuracy
100.0%
Counts
748 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
97.7%
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
96.9%
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
100.0%
(tanh.f64 x)
Compiler

Compiled 45 to 26 computations (42.2% saved)

simplify342.0ms (2.8%)

Memory
6.0MiB live, 638.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
cost-diff0
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 x #s(literal 2/15 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
cost-diff0
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
cost-diff0
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
cost-diff0
(tanh.f64 x)
Rules
11 378×lower-fma.f32
11 366×lower-fma.f64
3 626×lower-*.f32
3 614×lower-*.f64
1 706×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017112
036104
190103
2192103
3371103
4732103
51150103
61593103
72171103
83309103
96021103
08151102
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(tanh.f64 x)
x
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
x
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
x
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(*.f64 x #s(literal -17/315 binary64))
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
Outputs
(tanh.f64 x)
x
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
x
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
x
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(*.f64 x #s(literal -17/315 binary64))
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)

localize132.0ms (1.1%)

Memory
-42.6MiB live, 189.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
accuracy99.9%
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.6%
(*.f64 x #s(literal -17/315 binary64))
accuracy100.0%
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
accuracy99.9%
(*.f64 x #s(literal 2/15 binary64))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
accuracy99.7%
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
accuracy100.0%
(tanh.f64 x)
Samples
88.0ms256×0valid
Compiler

Compiled 125 to 25 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
const: 48.0ms (63.4% of total)
ival-mult: 19.0ms (25.1% of total)
ival-add: 7.0ms (9.2% of total)
ival-tanh: 2.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-5.0MiB live, 32.9MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (tanh.f64 x)>
#<alt (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))>
#<alt (*.f64 x #s(literal 2/15 binary64))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))>
#<alt (*.f64 x #s(literal -17/315 binary64))>
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 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* 2/15 x)>
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt 2/15>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (* -17/315 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
Calls

39 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(* x 2/15)
2.0ms
x
@inf
(tanh x)
1.0ms
x
@-inf
(tanh x)
1.0ms
x
@inf
(+ (* x (* -1/3 (* x x))) x)
1.0ms
x
@-inf
(+ (* (+ (* x (* x (+ (* x (* x -17/315)) 2/15))) -1/3) (* x (* x x))) x)

rewrite327.0ms (2.7%)

Memory
38.7MiB live, 539.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 944×lower-fma.f32
6 932×lower-fma.f64
5 080×lower-*.f32
5 068×lower-*.f64
3 988×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01791
03685
115984
2111984
0822583
Stop Event
iter limit
node limit
iter limit
Counts
13 → 369
Calls
Call 1
Inputs
(tanh.f64 x)
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal 2/15 binary64))
(*.f64 x (*.f64 x x))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(*.f64 x #s(literal -17/315 binary64))
Outputs
(+.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(-.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (fma.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) (+.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(tanh.f64 x)
(+.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(+.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (neg.f64 x)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (fma.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))) (*.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 34/4725 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/225 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) (*.f64 (*.f64 x x) #s(literal 34/4725 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 34/4725 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))))
(*.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 289/99225 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))
(*.f64 x #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) x)

simplify214.0ms (1.8%)

Memory
-25.6MiB live, 344.1MiB allocated
Algorithm
egg-herbie
Rules
8 044×lower-fma.f64
8 044×lower-fma.f32
3 434×lower-*.f64
3 434×lower-*.f32
1 428×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941120
12461084
26941084
322521084
463071084
083161020
Stop Event
iter limit
node limit
Counts
156 → 152
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))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* 2/15 x)
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 3))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 3))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(+ 2/15 (* -17/315 (pow x 2)))
(+ 2/15 (* -17/315 (pow x 2)))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(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))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* -17/315 (pow x 4))
(*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -17/315 (pow x 4))
(*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* -17/315 (pow x 3))
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* -17/315 (pow x 3))
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
2/15
#s(literal 2/15 binary64)
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))

eval77.0ms (0.6%)

Memory
-10.0MiB live, 144.9MiB allocated
Compiler

Compiled 19 539 to 1 431 computations (92.7% saved)

prune54.0ms (0.4%)

Memory
27.3MiB live, 110.5MiB allocated
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New5689577
Fresh000
Picked224
Done000
Total57011581
Accuracy
100.0%
Counts
581 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
97.7%
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x)
97.7%
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x)) x)
97.7%
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
97.7%
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) x)
97.7%
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
97.7%
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
96.9%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
96.3%
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)
5.1%
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
100.0%
(tanh.f64 x)
Compiler

Compiled 428 to 217 computations (49.3% saved)

simplify241.0ms (2%)

Memory
-30.4MiB live, 287.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))))
cost-diff0
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x)
cost-diff128
(+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))
cost-diff640
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))
cost-diff0
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
cost-diff0
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
cost-diff128
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
cost-diff128
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64))))
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 x #s(literal 2/15 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
cost-diff0
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
cost-diff0
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
Rules
7 784×lower-fma.f32
7 770×lower-fma.f64
3 386×lower-*.f32
3 364×lower-*.f64
1 996×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031332
060290
1144272
2365263
3672261
41303261
52412261
65662261
77679261
08195243
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
x
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
#s(literal -1/3 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
x
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64))))
#s(literal 1/9 binary64)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
#s(literal 4/225 binary64)
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
#s(literal -1/3 binary64)
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x (*.f64 x x))
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x)
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
#s(literal 8/3375 binary64)
#s(literal -1/27 binary64)
(+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))
#s(literal 1/9 binary64)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
#s(literal 4/225 binary64)
(*.f64 (*.f64 x x) #s(literal 2/45 binary64))
#s(literal 2/45 binary64)
Outputs
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
x
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
#s(literal -1/3 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) x)
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
x
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -4/225 binary64))) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4/225 binary64))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64))))
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -4/225 binary64))) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4/225 binary64))))
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(*.f64 x (*.f64 x #s(literal 4/225 binary64)))
#s(literal 4/225 binary64)
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x (*.f64 x x))
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 8/3375 binary64)))) #s(literal -1/27 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))) x)
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))))
(/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 8/3375 binary64)))) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 8/3375 binary64)))) #s(literal -1/27 binary64))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(*.f64 x (*.f64 x (*.f64 x #s(literal 8/3375 binary64))))
#s(literal 8/3375 binary64)
#s(literal -1/27 binary64)
(+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/225 binary64)) #s(literal 2/45 binary64)))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(*.f64 x (*.f64 x #s(literal 4/225 binary64)))
#s(literal 4/225 binary64)
(*.f64 (*.f64 x x) #s(literal 2/45 binary64))
#s(literal 2/45 binary64)

localize173.0ms (1.4%)

Memory
26.2MiB live, 181.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 2/45 binary64))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
accuracy100.0%
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)
accuracy99.9%
(*.f64 x #s(literal 2/15 binary64))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
accuracy100.0%
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
accuracy99.8%
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
accuracy99.5%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
Samples
83.0ms256×0valid
Compiler

Compiled 349 to 39 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 26.0ms (40.7% of total)
const: 20.0ms (31.3% of total)
ival-add: 13.0ms (20.4% of total)
ival-div: 3.0ms (4.7% of total)
ival-sub: 2.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series60.0ms (0.5%)

Memory
9.8MiB live, 48.2MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)>
#<alt (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)>
#<alt (*.f64 x (*.f64 x #s(literal 2/15 binary64)))>
#<alt (*.f64 x #s(literal 2/15 binary64))>
#<alt (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64))))>
#<alt (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))>
#<alt (fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)>
#<alt (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))>
#<alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))>
#<alt (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))>
#<alt (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x)>
#<alt (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))))>
#<alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))>
#<alt (*.f64 (*.f64 x x) #s(literal 4/225 binary64))>
#<alt (*.f64 (*.f64 x x) #s(literal 2/45 binary64))>
#<alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (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 (* 2/15 (pow x 4))))>
#<alt (* x (+ 1 (* 2/15 (pow x 4))))>
#<alt (* x (+ 1 (* 2/15 (pow x 4))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt 1/9>
#<alt (+ 1/9 (* -4/225 (pow x 4)))>
#<alt (+ 1/9 (* -4/225 (pow x 4)))>
#<alt (+ 1/9 (* -4/225 (pow x 4)))>
#<alt (* -4/225 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))>
#<alt (* -4/225 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))>
#<alt -1/3>
#<alt (- (* -2/15 (pow x 2)) 1/3)>
#<alt (- (* -2/15 (pow x 2)) 1/3)>
#<alt (- (* -2/15 (pow x 2)) 1/3)>
#<alt (* -2/15 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -2/15 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/45 (pow x 2))>
#<alt (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))>
#<alt (* 4/225 (pow x 4))>
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))>
#<alt (* 4/225 (pow x 4))>
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))>
#<alt 1/9>
#<alt (+ 1/9 (* 2/45 (pow x 2)))>
#<alt (+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))))>
#<alt (+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))))>
#<alt (* 4/225 (pow x 4))>
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))>
#<alt (* 4/225 (pow x 4))>
#<alt (* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 4/225 (pow x 4))>
#<alt (* 4/225 (pow x 4))>
#<alt (* 4/225 (pow x 4))>
#<alt (* 4/225 (pow x 4))>
#<alt (* 4/225 (pow x 4))>
#<alt (* 4/225 (pow x 4))>
#<alt (* 4/225 (pow x 4))>
#<alt (* 4/225 (pow x 4))>
#<alt (* 4/225 (pow x 4))>
#<alt (* 4/225 (pow x 4))>
#<alt (* 4/225 (pow x 4))>
#<alt (* 4/225 (pow x 4))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 2/45 (pow x 2))>
#<alt (* 2/45 (pow x 2))>
#<alt (* 2/45 (pow x 2))>
#<alt (* 2/45 (pow x 2))>
#<alt (* 2/45 (pow x 2))>
#<alt (* 2/45 (pow x 2))>
#<alt (* 2/45 (pow x 2))>
#<alt (* 2/45 (pow x 2))>
#<alt (* 2/45 (pow x 2))>
#<alt (* 2/45 (pow x 2))>
#<alt (* 2/45 (pow x 2))>
#<alt (* 2/45 (pow x 2))>
#<alt (* 8/3375 (pow x 3))>
#<alt (* 8/3375 (pow x 3))>
#<alt (* 8/3375 (pow x 3))>
#<alt (* 8/3375 (pow x 3))>
#<alt (* 8/3375 (pow x 3))>
#<alt (* 8/3375 (pow x 3))>
#<alt (* 8/3375 (pow x 3))>
#<alt (* 8/3375 (pow x 3))>
#<alt (* 8/3375 (pow x 3))>
#<alt (* 8/3375 (pow x 3))>
#<alt (* 8/3375 (pow x 3))>
#<alt (* 8/3375 (pow x 3))>
Calls

66 calls:

TimeVariablePointExpression
29.0ms
x
@-inf
(+ (* (* x (* x 2/15)) (* x (* x x))) x)
3.0ms
x
@inf
(+ (* (/ (+ (* (* x (* x x)) (* (* x (* x x)) 8/3375)) -1/27) (+ 1/9 (+ (* (* x x) (* (* x x) 4/225)) (* (* x x) 2/45)))) (* x (* x x))) x)
1.0ms
x
@inf
(/ (+ (* (* x (* x x)) (* (* x (* x x)) 8/3375)) -1/27) (+ 1/9 (+ (* (* x x) (* (* x x) 4/225)) (* (* x x) 2/45))))
1.0ms
x
@-inf
(/ (+ (* (* x (* x x)) (* (* x (* x x)) 8/3375)) -1/27) (+ 1/9 (+ (* (* x x) (* (* x x) 4/225)) (* (* x x) 2/45))))
1.0ms
x
@-inf
(+ (* (/ (+ (* (* x (* x x)) (* (* x (* x x)) 8/3375)) -1/27) (+ 1/9 (+ (* (* x x) (* (* x x) 4/225)) (* (* x x) 2/45)))) (* x (* x x))) x)

rewrite641.0ms (5.3%)

Memory
-20.6MiB live, 413.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 892×lower-fma.f32
6 878×lower-fma.f64
5 200×lower-*.f32
5 178×lower-*.f64
4 974×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031260
060204
1273185
22232183
09005171
Stop Event
iter limit
node limit
iter limit
Counts
22 → 835
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(*.f64 x #s(literal 2/15 binary64))
(-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64))))
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))
(+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x)
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(*.f64 (*.f64 x x) #s(literal 2/45 binary64))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
Outputs
(+.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) x)
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (*.f64 x x) x)
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x))) x)
(fma.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)))) x)
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 4/225 binary64))) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) x)
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 4/225 binary64))) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) x)
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64))) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1/27 binary64) (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 4/225 binary64))) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (fma.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/27 binary64)))) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 4/225 binary64))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 4/225 binary64))) #s(literal -1/9 binary64)))) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (fma.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/27 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 4/225 binary64))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 4/225 binary64))) #s(literal -1/9 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64/11390625 binary64))))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 4/225 binary64)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 4/225 binary64))) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 16/50625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 4/225 binary64))) #s(literal 1/9 binary64))) x)
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64/11390625 binary64))) #s(literal -1/729 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))) #s(literal 1/729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))) #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64/11390625 binary64))) #s(literal -1/729 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal -2/15 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 4/225 binary64))))
(*.f64 x (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4/225 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))))
(*.f64 (*.f64 x x) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4/225 binary64)))
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64))))
(*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(*.f64 #s(literal 4/225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x #s(literal 4/225 binary64))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal -2/15 binary64)) (*.f64 (*.f64 x x) #s(literal -2/15 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64))) (*.f64 x #s(literal 2/15 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))) #s(literal 2/15 binary64))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 4/225 binary64))) x)
(*.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal 2/15 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x #s(literal 2/15 binary64))) x)
(*.f64 x (*.f64 x #s(literal 4/225 binary64)))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(*.f64 #s(literal 4/225 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 4/225 binary64)) x)
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/45 binary64))
(*.f64 #s(literal 2/45 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 2/45 binary64)) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2/15 binary64))) #s(literal 3 binary64)))
(pow.f64 (*.f64 x #s(literal 2/15 binary64)) #s(literal 3 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 8/3375 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 8/3375 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))))
(*.f64 #s(literal 8/3375 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 8/3375 binary64)) x)
(*.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (*.f64 x #s(literal 2/15 binary64)))
(*.f64 (*.f64 #s(literal 8/3375 binary64) x) (*.f64 x x))

simplify731.0ms (6.1%)

Memory
30.0MiB live, 333.1MiB allocated
Algorithm
egg-herbie
Rules
9 150×lower-fma.f64
9 150×lower-fma.f32
3 356×lower-*.f64
3 356×lower-*.f32
1 578×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821790
12161772
25391754
315331706
430371706
548301706
081681583
Stop Event
iter limit
node limit
Counts
264 → 260
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(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 (* 2/15 (pow x 4))))
(* x (+ 1 (* 2/15 (pow x 4))))
(* x (+ 1 (* 2/15 (pow x 4))))
(* 2/15 (pow x 5))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* 2/15 (pow x 5))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
1/9
(+ 1/9 (* -4/225 (pow x 4)))
(+ 1/9 (* -4/225 (pow x 4)))
(+ 1/9 (* -4/225 (pow x 4)))
(* -4/225 (pow x 4))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))
(* -4/225 (pow x 4))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 4/225))
-1/3
(- (* -2/15 (pow x 2)) 1/3)
(- (* -2/15 (pow x 2)) 1/3)
(- (* -2/15 (pow x 2)) 1/3)
(* -2/15 (pow x 2))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -2/15 (pow x 2))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/45 (pow x 2))
(* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))
(* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))
(* (pow x 2) (+ 2/45 (* 4/225 (pow x 2))))
(* 4/225 (pow x 4))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(* 4/225 (pow x 4))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
1/9
(+ 1/9 (* 2/45 (pow x 2)))
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))))
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))))
(* 4/225 (pow x 4))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))
(* 4/225 (pow x 4))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 4/225 (pow x 4))
(* 4/225 (pow x 4))
(* 4/225 (pow x 4))
(* 4/225 (pow x 4))
(* 4/225 (pow x 4))
(* 4/225 (pow x 4))
(* 4/225 (pow x 4))
(* 4/225 (pow x 4))
(* 4/225 (pow x 4))
(* 4/225 (pow x 4))
(* 4/225 (pow x 4))
(* 4/225 (pow x 4))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 2/45 (pow x 2))
(* 2/45 (pow x 2))
(* 2/45 (pow x 2))
(* 2/45 (pow x 2))
(* 2/45 (pow x 2))
(* 2/45 (pow x 2))
(* 2/45 (pow x 2))
(* 2/45 (pow x 2))
(* 2/45 (pow x 2))
(* 2/45 (pow x 2))
(* 2/45 (pow x 2))
(* 2/45 (pow x 2))
(* 8/3375 (pow x 3))
(* 8/3375 (pow x 3))
(* 8/3375 (pow x 3))
(* 8/3375 (pow x 3))
(* 8/3375 (pow x 3))
(* 8/3375 (pow x 3))
(* 8/3375 (pow x 3))
(* 8/3375 (pow x 3))
(* 8/3375 (pow x 3))
(* 8/3375 (pow x 3))
(* 8/3375 (pow x 3))
(* 8/3375 (pow x 3))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(* 2/15 (pow x 5))
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
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(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 2/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 2/45 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* (pow x 2) (+ 2/45 (* 4/225 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* (pow x 4) (+ 4/225 (* 2/45 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)))
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))
(* (pow x 4) (+ 4/225 (+ (/ 1/9 (pow x 4)) (* 2/45 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/225 binary64) #s(literal 2/45 binary64)) #s(literal 1/9 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(* 2/15 (pow x 5))
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(* 2/15 (pow x 5))
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* 4/225 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/225 binary64))
(* 4/225 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(* 4/225 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(* 4/225 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(* 4/225 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(* 4/225 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(* 4/225 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(* 4/225 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(* 4/225 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(* 4/225 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(* 4/225 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(* 4/225 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(* 4/225 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4/225 binary64))
(* 2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(* 2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(* 2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(* 2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(* 2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(* 2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(* 2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(* 2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(* 2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(* 2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(* 2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(* 2/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/45 binary64)))
(* 8/3375 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(* 8/3375 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(* 8/3375 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(* 8/3375 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(* 8/3375 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(* 8/3375 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(* 8/3375 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(* 8/3375 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(* 8/3375 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(* 8/3375 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(* 8/3375 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))
(* 8/3375 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))

eval465.0ms (3.9%)

Memory
10.2MiB live, 437.5MiB allocated
Compiler

Compiled 56 390 to 3 013 computations (94.7% saved)

prune138.0ms (1.1%)

Memory
-14.9MiB live, 346.5MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 43361 439
Fresh314
Picked325
Done022
Total1 439111 450
Accuracy
100.0%
Counts
1 450 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
98.0%
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
97.7%
(fma.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) x)) x x)
97.7%
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
96.9%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
5.1%
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)
5.1%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
5.1%
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
6.2%
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
5.1%
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
100.0%
(tanh.f64 x)
Compiler

Compiled 206 to 124 computations (39.8% saved)

simplify136.0ms (1.1%)

Memory
34.3MiB live, 153.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
cost-diff0
(*.f64 x #s(literal -1/3 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal -1/3 binary64)) x)
cost-diff0
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)
cost-diff0
(*.f64 x #s(literal -1/3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
cost-diff0
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
cost-diff0
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
cost-diff0
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
cost-diff0
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
cost-diff128
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
Rules
1 448×lower-fma.f32
1 444×lower-fma.f64
1 032×lower-*.f32
1 014×lower-*.f64
290×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018119
034105
164105
2108105
3159105
4209105
5245105
6469105
71164105
81537105
91802105
102104105
112274105
122315105
132321105
142321105
152351105
162355105
172355105
182357105
02357102
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
#s(literal 1/9 binary64)
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
#s(literal -1/3 binary64)
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
x
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
x
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 x x)
x
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)
(*.f64 (*.f64 x #s(literal -1/3 binary64)) x)
(*.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal -1/3 binary64)
Outputs
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))) x)
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))
#s(literal 1/9 binary64)
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
x
(*.f64 x #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
x
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x x)
x
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x #s(literal -1/3 binary64)) x)
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
x
#s(literal -1/3 binary64)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal -1/3 binary64)

localize71.0ms (0.6%)

Memory
4.0MiB live, 162.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.9%
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)
accuracy99.8%
(*.f64 (*.f64 x #s(literal -1/3 binary64)) x)
accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
accuracy99.7%
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
accuracy100.0%
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
accuracy99.9%
(*.f64 x #s(literal 2/15 binary64))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
Samples
46.0ms256×0valid
Compiler

Compiled 123 to 22 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 18.0ms (54.8% of total)
const: 9.0ms (27.4% of total)
ival-add: 3.0ms (9.1% of total)
ival-div: 2.0ms (6.1% of total)
ival-sub: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory
-4.0MiB live, 35.3MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))>
#<alt (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)>
#<alt (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))>
#<alt (*.f64 x (*.f64 x #s(literal 2/15 binary64)))>
#<alt (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))>
#<alt (*.f64 x #s(literal -1/3 binary64))>
#<alt (*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)>
#<alt (*.f64 (*.f64 x #s(literal -1/3 binary64)) x)>
#<alt (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x #s(literal 2/15 binary64))>
Outputs
#<alt -1/3>
#<alt (- (* -2/15 (pow x 2)) 1/3)>
#<alt (- (* -2/15 (pow x 2)) 1/3)>
#<alt (- (* -2/15 (pow x 2)) 1/3)>
#<alt (* -2/15 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -2/15 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -4/75 (pow x 2)))) 1/3))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1/6 (* 25/12 (/ 1 (pow x 2)))) (/ 125/24 (pow x 4))))>
#<alt (* x (- (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))) (/ 125/24 (pow x 4))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -4/75 (pow x 2)))) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* (pow x 2) (- (* 8/375 (pow x 2)) 4/75)))) 1/3)>
#<alt (/ -5/6 (pow x 2))>
#<alt (/ (- (* 25/12 (/ 1 (pow x 2))) 5/6) (pow x 2))>
#<alt (/ (- (* 25/12 (/ 1 (pow x 2))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))>
#<alt (/ -5/6 (pow x 2))>
#<alt (/ (- (* 25/12 (/ 1 (pow x 2))) 5/6) (pow x 2))>
#<alt (/ (- (* 25/12 (/ 1 (pow x 2))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt 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 (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
Calls

42 calls:

TimeVariablePointExpression
25.0ms
x
@0
(- -1/3 (* x (* x 2/15)))
0.0ms
x
@inf
(+ (* (/ 1/9 (- -1/3 (* x (* x 2/15)))) (* x (* x x))) x)
0.0ms
x
@-inf
(* (* -1/3 (* x x)) x)
0.0ms
x
@-inf
(* (* (* x -1/3) x) x)
0.0ms
x
@inf
(* (* x x) (* x -1/3))

rewrite434.0ms (3.6%)

Memory
-9.8MiB live, 824.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 912×lower-fma.f32
10 908×lower-fma.f64
6 258×lower-*.f32
6 240×lower-*.f64
3 148×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01890
03478
110878
265377
0805475
Stop Event
iter limit
node limit
iter limit
Counts
14 → 437
Calls
Call 1
Inputs
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 x #s(literal -1/3 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)
(*.f64 (*.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(*.f64 x (*.f64 x x))
(*.f64 x #s(literal 2/15 binary64))
Outputs
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/15 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal -2/15 binary64)) #s(literal -1/3 binary64))
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64))))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))
(-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(-.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x (neg.f64 x)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) (neg.f64 x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64))))))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x #s(literal -2/15 binary64)) x #s(literal -1/3 binary64))
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) #s(literal -1 binary64)) x #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x))) (-.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x))) #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64))))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64))))))
(neg.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal -8/3375 binary64) #s(literal -1/27 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal -8/3375 binary64) #s(literal -1/27 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -2/15 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal -8/3375 binary64) #s(literal -1/27 binary64)) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal -8/3375 binary64) #s(literal -1/27 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64))) (-.f64 #s(literal 1/9 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -2/45 binary64))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal -8/3375 binary64) #s(literal -1/27 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 #s(literal -2/45 binary64) x)) #s(literal 1/9 binary64))))
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(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) #s(literal 1/729 binary64)) (*.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))))))) (fma.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))) (-.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))))))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 x))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 x #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) x)

simplify318.0ms (2.6%)

Memory
-12.4MiB live, 626.7MiB allocated
Algorithm
egg-herbie
Rules
9 504×lower-fma.f64
9 504×lower-fma.f32
3 506×lower-*.f64
3 506×lower-*.f32
2 938×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087964
1227940
2643940
32148928
47454928
08531892
Stop Event
iter limit
node limit
Counts
168 → 166
Calls
Call 1
Inputs
-1/3
(- (* -2/15 (pow x 2)) 1/3)
(- (* -2/15 (pow x 2)) 1/3)
(- (* -2/15 (pow x 2)) 1/3)
(* -2/15 (pow x 2))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -2/15 (pow x 2))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -4/75 (pow x 2)))) 1/3))))
(* 1/6 x)
(* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))
(* x (- (+ 1/6 (* 25/12 (/ 1 (pow x 2)))) (/ 125/24 (pow x 4))))
(* x (- (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))) (/ 125/24 (pow x 4))))
(* 1/6 x)
(* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -4/75 (pow x 2)))) 1/3)
(- (* (pow x 2) (+ 2/15 (* (pow x 2) (- (* 8/375 (pow x 2)) 4/75)))) 1/3)
(/ -5/6 (pow x 2))
(/ (- (* 25/12 (/ 1 (pow x 2))) 5/6) (pow x 2))
(/ (- (* 25/12 (/ 1 (pow x 2))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))
(/ (- (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))
(/ -5/6 (pow x 2))
(/ (- (* 25/12 (/ 1 (pow x 2))) 5/6) (pow x 2))
(/ (- (* 25/12 (/ 1 (pow x 2))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))
(/ (- (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
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)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
Outputs
-1/3
#s(literal -1/3 binary64)
(- (* -2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* -2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* -2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* -2/15 (pow x 2))
(*.f64 #s(literal -2/15 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* -2/15 (pow x 2))
(*.f64 #s(literal -2/15 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
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 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -4/75 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/75 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x))
(* x (- (+ 1/6 (* 25/12 (/ 1 (pow x 2)))) (/ 125/24 (pow x 4))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -125/24 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x)))
(* x (- (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))) (/ 125/24 (pow x 4))))
(fma.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 625/48 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 125/24 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 25/12 binary64) x)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x))
(* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -125/24 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x)))
(* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))))))
(fma.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 625/48 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 125/24 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 25/12 binary64) x)))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -4/75 (pow x 2)))) 1/3)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/75 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* (pow x 2) (- (* 8/375 (pow x 2)) 4/75)))) 1/3)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 8/375 binary64) #s(literal -4/75 binary64))) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(/ -5/6 (pow x 2))
(/.f64 #s(literal -5/6 binary64) (*.f64 x x))
(/ (- (* 25/12 (/ 1 (pow x 2))) 5/6) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 25/12 binary64) (*.f64 x x)) #s(literal -5/6 binary64)) (*.f64 x x))
(/ (- (* 25/12 (/ 1 (pow x 2))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 25/12 binary64) (*.f64 x x)) (+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -125/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (- (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 25/12 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 625/48 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -125/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x))
(/ -5/6 (pow x 2))
(/.f64 #s(literal -5/6 binary64) (*.f64 x x))
(/ (- (* 25/12 (/ 1 (pow x 2))) 5/6) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 25/12 binary64) (*.f64 x x)) #s(literal -5/6 binary64)) (*.f64 x x))
(/ (- (* 25/12 (/ 1 (pow x 2))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 25/12 binary64) (*.f64 x x)) (+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -125/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (- (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6)))) (+ 5/6 (/ 125/24 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 25/12 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 625/48 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -125/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))

eval95.0ms (0.8%)

Memory
-7.6MiB live, 185.5MiB allocated
Compiler

Compiled 19 893 to 1 352 computations (93.2% saved)

prune65.0ms (0.5%)

Memory
-18.3MiB live, 141.2MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New6934697
Fresh202
Picked415
Done134
Total7008708
Accuracy
100.0%
Counts
708 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/75 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
97.7%
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
98.0%
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) x x)
22.1%
(fma.f64 (/.f64 #s(literal -5/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)) x)
97.7%
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
96.9%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
16.6%
(*.f64 x #s(literal 1/6 binary64))
100.0%
(tanh.f64 x)
Compiler

Compiled 458 to 147 computations (67.9% saved)

regimes15.0ms (0.1%)

Memory
-3.0MiB live, 33.4MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal -5/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) x x)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/75 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) x)) x x)
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) x)
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(tanh.f64 x)
Calls

2 calls:

9.0ms
x
5.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 16 to 8 computations (50% saved)

regimes12.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal -5/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) x x)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/75 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) x)) x x)
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) x)
Outputs
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) x x)
Calls

2 calls:

6.0ms
x
5.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
98.0%1x
98.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 16 to 8 computations (50% saved)

regimes7.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal -5/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)) x)
Outputs
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
97.7%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
97.7%1x
Compiler

Compiled 16 to 8 computations (50% saved)

regimes9.0ms (0.1%)

Memory
-30.9MiB live, 12.8MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)) x)
Outputs
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
Calls

2 calls:

5.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms
x
Results
AccuracySegmentsBranch
96.9%1x
96.9%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 16 to 8 computations (50% saved)

regimes4.0ms (0%)

Memory
9.9MiB live, 9.9MiB allocated
Accuracy

Total -7.4b remaining (-13.9%)

Threshold costs -7.4b (-13.9%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)
Outputs
(*.f64 x #s(literal 1/6 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
16.6%1x
16.6%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 16 to 8 computations (50% saved)

simplify6.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Algorithm
egg-herbie
Rules
18×*-commutative_binary64
10×+-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01940
12940
24440
35240
45840
56040
Stop Event
saturated
Calls
Call 1
Inputs
(tanh.f64 x)
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) x x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(*.f64 x #s(literal 1/6 binary64))
Outputs
(tanh.f64 x)
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) x x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x) x x)
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x x)
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))

soundness923.0ms (7.7%)

Memory
-22.0MiB live, 653.7MiB allocated
Rules
12 890×lower-fma.f64
12 890×lower-fma.f32
10 912×lower-fma.f32
10 908×lower-fma.f64
9 504×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821790
12161772
25391754
315331706
430371706
548301706
081681583
090425
1259424
2604414
31659414
42630414
54160414
64872414
76500414
08123386
087964
1227940
2643940
32148928
47454928
08531892
01890
03478
110878
265377
0805475
0730
01315
15515
242415
3708015
0806215
01791
03685
115984
2111984
0822583
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 215 to 119 computations (44.7% saved)

preprocess42.0ms (0.3%)

Memory
16.3MiB live, 90.9MiB allocated
Remove

(negabs x)

Compiler

Compiled 128 to 64 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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