2cbrt (problem 3.3.4)

Time bar (total: 9.5s)

analyze2.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.8s (19.3%)

Memory
50.0MiB live, 1 453.8MiB allocated
Samples
1.1s6 308×1valid
305.0ms1 720×2valid
14.0ms228×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cbrt: 347.0ms (31.4% of total)
ival-add: 257.0ms (23.3% of total)
adjust: 204.0ms (18.5% of total)
const: 142.0ms (12.9% of total)
ival-sub: 81.0ms (7.3% of total)
ival->: 30.0ms (2.7% of total)
ival-<: 20.0ms (1.8% of total)
ival-and: 12.0ms (1.1% of total)
exact: 8.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess20.0ms (0.2%)

Memory
12.8MiB live, 12.8MiB allocated
Algorithm
egg-herbie
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
46×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11817
24116
37316
412116
517816
620116
721216
067
0107
1157
2197
3257
4337
5487
6807
71067
81507
91657
101737
01737
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Outputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

explain200.0ms (2.1%)

Memory
1.7MiB live, 78.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(cbrt.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))cancellation2560
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
107.0ms410×1valid
13.0ms90×2valid
1.0ms12×0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-cbrt: 15.0ms (41.6% of total)
adjust: 9.0ms (24.9% of total)
ival-add: 6.0ms (16.6% of total)
ival-sub: 5.0ms (13.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.3%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify9.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cbrt.f64 x)
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
36×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11518
21918
32518
43318
54818
68018
710618
815018
916518
1017318
017318
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(cbrt.f64 x)
Outputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(cbrt.f64 x)

localize71.0ms (0.7%)

Memory
-22.1MiB live, 23.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy99.2%
(cbrt.f64 x)
accuracy99.2%
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy6.4%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Samples
55.0ms205×1valid
7.0ms45×2valid
0.0ms0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-add: 37.0ms (70.2% of total)
ival-cbrt: 8.0ms (15.2% of total)
adjust: 5.0ms (9.5% of total)
ival-sub: 2.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))>
#<alt (cbrt.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (cbrt.f64 x)>
Outputs
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(- (cbrt (+ x 1)) (cbrt x))
3.0ms
x
@inf
(- (cbrt (+ x 1)) (cbrt x))
2.0ms
x
@0
(cbrt x)
1.0ms
x
@-inf
(cbrt x)
1.0ms
x
@inf
(cbrt x)

simplify351.0ms (3.7%)

Memory
-6.0MiB live, 303.8MiB allocated
Algorithm
egg-herbie
Rules
6 306×lower-fma.f64
6 306×lower-fma.f32
4 226×lower-*.f64
4 226×lower-*.f32
1 638×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146602
1350564
2900564
32613561
45976561
08122528
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
Outputs
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(* -1 (* (cbrt x) (cbrt -1)))
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(-.f64 (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(fma.f64 x (neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (* (cbrt x) (cbrt -1)))
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))

rewrite282.0ms (3%)

Memory
-1.3MiB live, 434.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 430×lower-fma.f64
5 430×lower-fma.f32
2 846×lower-*.f64
2 846×lower-*.f32
2 158×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
14316
228216
3310116
0909216
Stop Event
iter limit
node limit
iter limit
Counts
4 → 357
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(cbrt.f64 x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64)))
(+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
(-.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (cbrt.f64 x))
(fma.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 x) #s(literal -1 binary64) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (pow.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) (-.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (cbrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x)))
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(*.f64 (cbrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2/3 binary64)))
(cbrt.f64 x)
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))

eval54.0ms (0.6%)

Memory
16.6MiB live, 133.5MiB allocated
Compiler

Compiled 8 225 to 1 301 computations (84.2% saved)

prune88.0ms (0.9%)

Memory
3.6MiB live, 250.2MiB allocated
Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New37330403
Fresh000
Picked011
Done000
Total37331404
Accuracy
52.3%
Counts
404 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.1%
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
7.6%
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
7.7%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x)))
8.5%
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
4.9%
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
6.6%
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
7.7%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (cbrt.f64 x))
4.7%
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
7.6%
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
6.1%
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
5.6%
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (*.f64 x (sqrt.f64 x))) (cbrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (cbrt.f64 x))
4.5%
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x))
6.3%
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
6.9%
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x))
6.4%
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
7.7%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
7.6%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
7.7%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
6.7%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
7.7%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
7.7%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
6.9%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
6.3%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
5.6%
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
4.3%
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
1.8%
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
4.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
28.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x)))
27.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)))
27.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
50.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
Compiler

Compiled 848 to 564 computations (33.5% saved)

simplify33.0ms (0.3%)

Memory
5.4MiB live, 44.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 5/6 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
cost-diff0
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
cost-diff0
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff0
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
cost-diff0
(pow.f64 x #s(literal 1/6 binary64))
cost-diff6848
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
cost-diff1472
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
(cbrt.f64 x)
cost-diff0
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
Rules
354×lower-fma.f32
348×lower-fma.f64
216×lower-*.f32
212×lower-*.f64
124×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030159
053145
174145
297145
3127145
4154145
5196145
6284145
7345145
8407145
9447145
10483145
11536145
12574145
13589145
14610145
15619145
16621145
0621145
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1/3 binary64)
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(cbrt.f64 x)
x
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
(cbrt.f64 x)
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 5/6 binary64))
x
#s(literal 5/6 binary64)
(pow.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(cbrt.f64 x)
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1/3 binary64)
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(cbrt.f64 x)
x
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
(cbrt.f64 x)
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(pow.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 5/6 binary64))
x
#s(literal 5/6 binary64)
(pow.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(cbrt.f64 x)

localize231.0ms (2.4%)

Memory
13.8MiB live, 567.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
accuracy93.6%
(pow.f64 x #s(literal 1/6 binary64))
accuracy90.7%
(pow.f64 x #s(literal 5/6 binary64))
accuracy6.8%
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
accuracy100.0%
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
accuracy99.2%
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy93.6%
(pow.f64 x #s(literal 1/6 binary64))
accuracy6.4%
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy99.2%
(cbrt.f64 x)
accuracy99.2%
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy99.2%
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
accuracy6.8%
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
accuracy99.2%
(cbrt.f64 x)
accuracy8.3%
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
accuracy6.8%
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy98.9%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy98.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
accuracy53.7%
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
Samples
127.0ms204×1valid
52.0ms45×2valid
3.0ms5exit
2.0ms0valid
Compiler

Compiled 155 to 29 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-pow: 46.0ms (30.3% of total)
const: 27.0ms (17.8% of total)
ival-cbrt: 18.0ms (11.9% of total)
adjust: 17.0ms (11.2% of total)
ival-mult: 14.0ms (9.2% of total)
ival-add: 12.0ms (7.9% of total)
ival-sub: 7.0ms (4.6% of total)
ival-sqrt: 5.0ms (3.3% of total)
ival-neg: 3.0ms (2% of total)
ival-div: 2.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series125.0ms (1.3%)

Memory
-12.8MiB live, 198.6MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))>
#<alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))>
#<alt (cbrt.f64 x)>
#<alt (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))>
#<alt (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))>
#<alt (sqrt.f64 x)>
#<alt (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))>
#<alt (pow.f64 x #s(literal 1/6 binary64))>
#<alt (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))>
#<alt (cbrt.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))>
#<alt (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))>
#<alt (pow.f64 x #s(literal 5/6 binary64))>
Outputs
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1 (* x (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))>
#<alt (* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))>
#<alt (* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* -1 (* x (- (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4))))))))>
#<alt (* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3))))))>
#<alt (* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3))))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (+ 1 (* -1 (cbrt x)))>
#<alt (+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))>
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))>
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* -1 (* x (- (cbrt (/ (cbrt -1) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (cbrt (* x (cbrt -1))))>
#<alt (* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2))))))))>
#<alt (* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3))))))>
#<alt (* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1 (* x (cbrt -1)))>
#<alt (* -1 (* x (- (cbrt -1) (/ 1 x))))>
#<alt (* -1 (* x (- (cbrt -1) (/ 1 x))))>
#<alt (* -1 (* x (- (cbrt -1) (/ 1 x))))>
#<alt (pow (* 1 (pow x 5)) 1/6)>
#<alt (pow (* 1 (pow x 5)) 1/6)>
#<alt (pow (* 1 (pow x 5)) 1/6)>
#<alt (pow (* 1 (pow x 5)) 1/6)>
#<alt (pow (* 1 (pow x 5)) 1/6)>
#<alt (pow (* 1 (pow x 5)) 1/6)>
#<alt (pow (* 1 (pow x 5)) 1/6)>
#<alt (pow (* 1 (pow x 5)) 1/6)>
#<alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))>
Calls

57 calls:

TimeVariablePointExpression
28.0ms
x
@0
(pow x 1/6)
24.0ms
x
@0
(* 1/3 (cbrt (/ 1 (* x x))))
20.0ms
x
@-inf
(pow x 1/6)
15.0ms
x
@0
(pow x 5/6)
9.0ms
x
@inf
(pow x 1/6)

simplify346.0ms (3.6%)

Memory
-18.1MiB live, 615.2MiB allocated
Algorithm
egg-herbie
Rules
9 808×lower-fma.f64
9 808×lower-fma.f32
4 596×lower-*.f64
4 596×lower-*.f32
3 310×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03163038
18392812
229302765
377152749
083752611
Stop Event
iter limit
node limit
Counts
228 → 226
Calls
Call 1
Inputs
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* -1 (* x (- (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4))))))))
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3))))))
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3))))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(+ 1 (* -1 (cbrt x)))
(+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* -1 (* x (- (cbrt (/ (cbrt -1) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (cbrt (* x (cbrt -1))))
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2))))))))
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3))))))
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (cbrt -1)))
(* -1 (* x (- (cbrt -1) (/ 1 x))))
(* -1 (* x (- (cbrt -1) (/ 1 x))))
(* -1 (* x (- (cbrt -1) (/ 1 x))))
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))
Outputs
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))) (*.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
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(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))) (*.f64 x x))
(* -1 (* x (- (cbrt (/ (cbrt -1) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(neg.f64 (*.f64 x (-.f64 (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))) (neg.f64 x))
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (*.f64 x (*.f64 x x))) (neg.f64 (-.f64 (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))))))
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (-.f64 (-.f64 (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal -5/81 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(* -1 (cbrt (* x (cbrt -1))))
(neg.f64 (cbrt.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2))))))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x)))) (neg.f64 x))
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3))))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (*.f64 x (*.f64 x x))) (neg.f64 (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x))))))
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3))))))
(neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal -5/81 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))))) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 x x)) (*.f64 x (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* -1 (* x (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (cbrt -1) (/ 1 x))))
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64))
(* -1 (* x (- (cbrt -1) (/ 1 x))))
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64))
(* -1 (* x (- (cbrt -1) (/ 1 x))))
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64))
(pow (* 1 (pow x 5)) 1/6)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64))
(pow (* 1 (pow x 5)) 1/6)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64))
(pow (* 1 (pow x 5)) 1/6)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64))
(pow (* 1 (pow x 5)) 1/6)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64))
(pow (* 1 (pow x 5)) 1/6)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64))
(pow (* 1 (pow x 5)) 1/6)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64))
(pow (* 1 (pow x 5)) 1/6)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64))
(pow (* 1 (pow x 5)) 1/6)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5 binary64))) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5 binary64))) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5 binary64))) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5 binary64))) #s(literal 1/6 binary64))

rewrite349.0ms (3.7%)

Memory
14.8MiB live, 643.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
13 620×lower-fma.f32
13 614×lower-fma.f64
4 074×lower-*.f32
4 070×lower-*.f64
2 132×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030132
053103
118795
2116295
0880492
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 058
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
(cbrt.f64 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(sqrt.f64 x)
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 x #s(literal 1/6 binary64))
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 5/6 binary64))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(neg.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (pow.f64 x #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal -2/3 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))
(pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
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(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 #s(literal 5/6 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/12 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/12 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 5/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5/12 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 5/12 binary64) (*.f64 (log.f64 x) #s(literal 5/12 binary64))))
(pow.f64 x #s(literal 5/6 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/12 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 5/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 5/3 binary64))
(pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5/24 binary64))
(pow.f64 (exp.f64 #s(literal 5/6 binary64)) (log.f64 x))
(*.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 x #s(literal 5/12 binary64)) (pow.f64 x #s(literal 5/12 binary64)))
(*.f64 (pow.f64 x #s(literal 5/24 binary64)) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5/12 binary64)) (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 5/12 binary64)) (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 5/12 binary64)) (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 5/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 5/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 5/12 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal 5/12 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal 5/12 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 5/12 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 5/24 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 5/3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 5/3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/12 binary64)) (pow.f64 x #s(literal 5/24 binary64))) (pow.f64 x #s(literal 5/24 binary64)))

eval225.0ms (2.4%)

Memory
38.9MiB live, 413.8MiB allocated
Compiler

Compiled 29 281 to 3 147 computations (89.3% saved)

prune199.0ms (2.1%)

Memory
-6.6MiB live, 350.8MiB allocated
Pruning

38 alts after pruning (36 fresh and 2 done)

PrunedKeptTotal
New1 608301 638
Fresh19625
Picked415
Done011
Total1 631381 669
Accuracy
99.5%
Counts
1 669 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.1%
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))
7.8%
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
7.8%
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
8.5%
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
6.6%
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
7.7%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
6.3%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
27.9%
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)))
27.6%
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
28.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x)))
27.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)))
27.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
47.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))))
86.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
89.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
51.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
50.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))))))
50.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
25.0%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
26.3%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))))))))
26.0%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
25.0%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
4.1%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
Compiler

Compiled 1 036 to 697 computations (32.7% saved)

simplify14.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
cost-diff0
(pow.f64 x #s(literal 1/6 binary64))
cost-diff64
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
cost-diff6848
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))
cost-diff0
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
cost-diff0
(*.f64 x #s(literal 1/3 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
cost-diff0
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
cost-diff0
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
cost-diff704
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
cost-diff0
(cbrt.f64 x)
cost-diff0
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
Rules
116×lower-*.f32
112×lower-fma.f32
110×lower-fma.f64
106×lower-*.f64
44×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036181
055172
177164
299154
3119154
4131154
5149154
6187154
7211154
8238154
9258154
10270154
0270154
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(cbrt.f64 x)
x
#s(literal -2 binary64)
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/3 binary64)
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1/3 binary64)
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(cbrt.f64 x)
x
#s(literal -2 binary64)
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1/3 binary64)
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(pow.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1/3 binary64)

localize199.0ms (2.1%)

Memory
-16.7MiB live, 261.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
accuracy93.6%
(pow.f64 x #s(literal 1/6 binary64))
accuracy92.1%
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
accuracy6.1%
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))
accuracy99.5%
(*.f64 x #s(literal 1/3 binary64))
accuracy98.5%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
accuracy68.8%
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
accuracy59.4%
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
accuracy98.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
accuracy53.7%
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
accuracy4.1%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
accuracy99.2%
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
accuracy99.2%
(cbrt.f64 x)
accuracy98.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
Samples
90.0ms205×1valid
55.0ms45×2valid
1.0ms0valid
Compiler

Compiled 153 to 28 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-pow: 40.0ms (37.3% of total)
ival-mult: 15.0ms (14% of total)
const: 14.0ms (13.1% of total)
adjust: 13.0ms (12.1% of total)
ival-cbrt: 11.0ms (10.3% of total)
ival-add: 6.0ms (5.6% of total)
ival-div: 3.0ms (2.8% of total)
ival-neg: 3.0ms (2.8% of total)
ival-sub: 3.0ms (2.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))>
#<alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))>
#<alt (cbrt.f64 x)>
#<alt #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))>
#<alt (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))>
#<alt (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))>
#<alt (*.f64 x #s(literal 1/3 binary64))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))>
#<alt (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))>
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 x #s(literal 1/6 binary64))>
#<alt (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))>
Outputs
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (+ 1 (* -1 (cbrt x)))>
#<alt (+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))>
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))>
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (+ 1 (* -1 (cbrt x)))>
#<alt (+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))>
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))>
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))>
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))>
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))>
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))>
#<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 (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (cbrt (/ 1 (pow x 5)))>
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))>
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))>
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))>
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))>
#<alt (+ 1 (* -1 (cbrt x)))>
#<alt (+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))>
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))>
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (pow (* 1 x) 1/6))>
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))>
Calls

51 calls:

TimeVariablePointExpression
1.0ms
x
@0
(cbrt (/ 1 (pow x 5)))
1.0ms
x
@-inf
(* 1/3 (pow (cbrt x) -2))
1.0ms
x
@inf
(cbrt (/ 1 (pow x 5)))
0.0ms
x
@-inf
(* (* x 1/3) (cbrt (/ 1 (pow x 5))))
0.0ms
x
@-inf
(+ (* (pow x 1/6) (neg (pow x 1/6))) (pow (+ x 1) 1/3))

simplify374.0ms (3.9%)

Memory
-39.9MiB live, 377.4MiB allocated
Algorithm
egg-herbie
Rules
9 738×lower-fma.f64
9 738×lower-fma.f32
3 260×lower--.f64
3 260×lower--.f32
3 142×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01902548
15042205
216572146
338002124
478042124
087932037
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(+ 1 (* -1 (cbrt x)))
(+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(+ 1 (* -1 (cbrt x)))
(+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))
(* 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)
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(cbrt (/ 1 (pow x 5)))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))
(+ 1 (* -1 (cbrt x)))
(+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (pow (* 1 x) 1/6))
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))
Outputs
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 #s(literal 10/243 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(+ 1 (* -1 (cbrt x)))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) (cbrt.f64 x)))
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))
#s(literal 0 binary64)
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))))
(*.f64 x (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
#s(literal 0 binary64)
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (neg.f64 x)))
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
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(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
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(*.f64 x (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(*.f64 x (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(neg.f64 (*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(neg.f64 (fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x x))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))
(* -1 (pow (* 1 x) 1/6))
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(* -1 (pow (* 1 x) 1/6))
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(* -1 (pow (* 1 x) 1/6))
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(* -1 (pow (* 1 x) 1/6))
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(* -1 (pow (* 1 x) 1/6))
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(* -1 (pow (* 1 x) 1/6))
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(* -1 (pow (* 1 x) 1/6))
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(* -1 (pow (* 1 x) 1/6))
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)))
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)))
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)))
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)))

rewrite277.0ms (2.9%)

Memory
36.8MiB live, 313.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 000×lower-fma.f32
5 998×lower-fma.f64
3 402×lower-*.f32
3 394×lower-*.f64
2 218×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036152
055113
1163106
2834106
37980106
0879197
Stop Event
iter limit
node limit
iter limit
Counts
17 → 849
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(cbrt.f64 x)
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 x #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 5/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 5/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 5/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/3 binary64))) (neg.f64 (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))) (cbrt.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/3 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(*.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64)))))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal -5/3 binary64)))
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) x)
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 x #s(literal -5/6 binary64)) (*.f64 (pow.f64 x #s(literal -5/6 binary64)) (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (/.f64 x (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal -5/6 binary64))) (pow.f64 x #s(literal -5/6 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (neg.f64 (log.f64 x)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (log.f64 x)))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal -5 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal -5 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (log.f64 x))) (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (pow.f64 x #s(literal -2/3 binary64)))
(/.f64 x (pow.f64 x #s(literal 5/3 binary64)))
(/.f64 x (neg.f64 (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 x (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))))
(/.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))))
(/.f64 x (*.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64)))
(/.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64))) #s(literal 1 binary64)))
(/.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -5/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
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(*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 1/24 binary64)) (pow.f64 x #s(literal 1/12 binary64))))
(*.f64 (pow.f64 x #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 1/24 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64)))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64)))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/12 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/12 binary64) (*.f64 (log.f64 x) #s(literal 1/12 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/6 binary64)))
(+.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(fma.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 1/24 binary64)) (pow.f64 x #s(literal 1/12 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 1/24 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64)) #s(literal 0 binary64))
(neg.f64 (pow.f64 x #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)))
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x))
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) #s(literal 0 binary64))))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 1/24 binary64)) (pow.f64 x #s(literal 1/12 binary64))))
(*.f64 (pow.f64 x #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 1/24 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64)))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64)))

eval139.0ms (1.5%)

Memory
1.6MiB live, 161.5MiB allocated
Compiler

Compiled 17 991 to 1 851 computations (89.7% saved)

prune181.0ms (1.9%)

Memory
-19.6MiB live, 262.2MiB allocated
Pruning

52 alts after pruning (46 fresh and 6 done)

PrunedKeptTotal
New1 105211 126
Fresh62531
Picked145
Done022
Total1 112521 164
Accuracy
99.6%
Counts
1 164 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.1%
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))
7.8%
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
7.8%
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
8.5%
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
6.6%
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
7.7%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
6.3%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
27.9%
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)))
27.6%
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
28.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x)))
27.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)))
27.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
40.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))))
25.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))))
61.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x)))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
61.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))
40.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 x (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))))
96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
96.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
47.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
59.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))))
86.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)))))
61.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
89.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64)))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
51.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
50.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))))))
50.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
26.3%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (pow (+ x 1) 1/3)) (*.f64 x (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
26.0%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (pow (+ x 1) 1/3)) (*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
25.0%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
46.7%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64))))
66.0%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -5 binary64))))
61.4%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal -5/3 binary64)))))
25.3%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64)))))
4.1%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
Compiler

Compiled 1 325 to 881 computations (33.5% saved)

simplify656.0ms (6.9%)

Memory
18.9MiB live, 532.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff128
(neg.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff128
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
cost-diff384
(+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)
cost-diff0
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
cost-diff0
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
cost-diff0
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff0
(pow.f64 x #s(literal -2/3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
cost-diff320
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
Rules
22 624×lower-fma.f32
22 622×lower-fma.f64
2 520×lower-+.f32
2 514×lower-+.f64
2 188×lower--.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039239
065239
199232
2171232
3336223
4660223
51148223
61705223
72657223
84111223
94798223
105030223
115263223
127291223
137781223
08066223
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
#s(literal 1/3 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(literal 1 binary64)
(cbrt.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal -2/3 binary64))
x
#s(literal -2/3 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
#s(literal 1/3 binary64)
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)
(neg.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))
(pow.f64 x #s(literal 2/3 binary64))
(cbrt.f64 (fma.f64 x x x))
(fma.f64 x x x)
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
#s(literal 1/3 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(literal 1 binary64)
(cbrt.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(pow.f64 x #s(literal -2/3 binary64))
x
#s(literal -2/3 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1/3 binary64)
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
(+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)
#s(literal -1 binary64)
(neg.f64 (+.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
(-.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))
(pow.f64 x #s(literal 2/3 binary64))
(cbrt.f64 (fma.f64 x x x))
(fma.f64 x x x)

localize237.0ms (2.5%)

Memory
-4.3MiB live, 309.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy90.7%
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
accuracy90.7%
(pow.f64 x #s(literal 2/3 binary64))
accuracy52.3%
(cbrt.f64 (fma.f64 x x x))
accuracy7.7%
(+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)
accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
accuracy99.3%
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
accuracy98.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
accuracy53.7%
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))
accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
accuracy98.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
accuracy53.7%
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
accuracy99.4%
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
accuracy98.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
accuracy90.7%
(pow.f64 x #s(literal -2/3 binary64))
accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
accuracy99.2%
(cbrt.f64 x)
accuracy98.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
Samples
139.0ms205×1valid
38.0ms45×2valid
2.0ms0valid
Compiler

Compiled 214 to 38 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-pow: 36.0ms (24.8% of total)
const: 19.0ms (13.1% of total)
adjust: 19.0ms (13.1% of total)
ival-div: 16.0ms (11% of total)
ival-cbrt: 14.0ms (9.6% of total)
ival-mult: 14.0ms (9.6% of total)
ival-add: 13.0ms (8.9% of total)
ival-neg: 4.0ms (2.8% of total)
ival-sqrt: 4.0ms (2.8% of total)
ival-sub: 3.0ms (2.1% of total)
ival-fabs: 3.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))>
#<alt (/.f64 #s(literal 1 binary64) (cbrt.f64 x))>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 x #s(literal -2/3 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) x)>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))>
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))>
#<alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))>
#<alt (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))>
#<alt (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))>
#<alt (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)>
#<alt (/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))>
#<alt (neg.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (cbrt.f64 x)>
#<alt (cbrt.f64 (fma.f64 x x x))>
#<alt (pow.f64 x #s(literal 2/3 binary64))>
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))>
Outputs
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
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#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (cbrt (+ x (pow x 2)))>
#<alt (cbrt (+ x (pow x 2)))>
#<alt (cbrt (+ x (pow x 2)))>
#<alt (cbrt (+ x (pow x 2)))>
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt 1>
#<alt (+ 1 (* 2/3 x))>
#<alt (+ 1 (* x (+ 2/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))>
#<alt (* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
Calls

69 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x))))))
5.0ms
x
@-inf
(/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x))))))
2.0ms
x
@-inf
(* 1/3 (cbrt (pow (sqrt x) -4)))
1.0ms
x
@0
(pow x -2/3)
1.0ms
x
@0
(cbrt (+ (* x x) x))

simplify421.0ms (4.4%)

Memory
-29.6MiB live, 533.1MiB allocated
Algorithm
egg-herbie
Rules
11 442×lower-fma.f64
11 442×lower-fma.f32
7 334×lower-*.f64
7 334×lower-*.f32
4 214×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03624709
19694491
230164427
089264312
Stop Event
iter limit
node limit
Counts
276 → 274
Calls
Call 1
Inputs
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (* (pow x 2) (pow (sqrt -1) 4)))
(/ 1 (* (pow x 2) (pow (sqrt -1) 4)))
(/ 1 (* (pow x 2) (pow (sqrt -1) 4)))
(/ 1 (* (pow x 2) (pow (sqrt -1) 4)))
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))
(+ (* -2/3 (/ x (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 4/81 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (+ (* 2/27 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))) (* 2/3 (/ (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))))) (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (pow x 6))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (pow x 9))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) x)
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/9 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* (pow x 3) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))))) (pow x 3))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
1
(+ 1 (* 2/3 x))
(+ 1 (* x (+ 2/3 (* -1/9 x))))
(+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
Outputs
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
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(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(neg.f64 (*.f64 x (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x)))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 5 binary64)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))))) (*.f64 x (*.f64 x x)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 8 binary64)))) (/.f64 #s(literal -5/81 binary64) (*.f64 x (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 x (cbrt.f64 #s(literal -1 binary64))))))

rewrite332.0ms (3.5%)

Memory
9.7MiB live, 461.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 070×lower-fma.f32
8 068×lower-fma.f64
4 378×lower-/.f32
4 368×lower-/.f64
3 694×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039175
065173
1228142
21441142
08497141
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 030
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal -2/3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(neg.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(cbrt.f64 x)
(cbrt.f64 (fma.f64 x x x))
(pow.f64 x #s(literal 2/3 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
Outputs
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -4/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/3 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/3 binary64) (*.f64 (log.f64 x) #s(literal -1/3 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1/3 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 x))))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (neg.f64 (cbrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (neg.f64 (neg.f64 (neg.f64 (cbrt.f64 x)))))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (cbrt.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (cbrt.f64 x))))
(pow.f64 x #s(literal -2/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -4/3 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/3 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 (cbrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))) (neg.f64 (neg.f64 (cbrt.f64 x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (neg.f64 (cbrt.f64 x))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (cbrt.f64 x)))))
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(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x x))))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x x)))))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/6 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/3 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))))
(exp.f64 (neg.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) (*.f64 (log.f64 x) #s(literal -1/3 binary64))))
(exp.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) (/.f64 (cbrt.f64 x) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))))
(cbrt.f64 (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)))
(/.f64 (cbrt.f64 x) (pow.f64 x #s(literal -1/3 binary64)))
(/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 x #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(pow.f64 x #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/3 binary64))
(pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (cbrt.f64 x) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))))
(*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (/.f64 x #s(literal -1 binary64))) (cbrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/6 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/6 binary64))) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/6 binary64))))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
(pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (-.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal -1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))

eval248.0ms (2.6%)

Memory
7.5MiB live, 316.1MiB allocated
Compiler

Compiled 30 642 to 3 290 computations (89.3% saved)

prune162.0ms (1.7%)

Memory
21.4MiB live, 374.2MiB allocated
Pruning

63 alts after pruning (53 fresh and 10 done)

PrunedKeptTotal
New1 385231 408
Fresh113041
Picked145
Done066
Total1 397631 460
Accuracy
99.8%
Counts
1 460 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.1%
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))
7.8%
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
7.8%
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
5.4%
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x x))))) #s(literal 1/3 binary64)))))))
8.6%
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (fma.f64 x x x))))))
8.5%
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x))) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
8.5%
(/.f64 (*.f64 (*.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))) (-.f64 (-.f64 #s(literal -1 binary64) x) x))
49.2%
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
6.6%
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
7.7%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
6.3%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
49.8%
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))) x))
98.4%
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))))
27.6%
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
27.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)))
27.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
40.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))))
25.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))))
61.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x)))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
47.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64)))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
61.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))
50.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/3 binary64)))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x))) #s(literal 1/3 binary64)))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
89.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))))
96.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (cbrt.f64 x))))
96.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
96.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (cbrt.f64 x))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))
59.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))))
86.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)))))
61.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
51.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
50.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))))))
50.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
50.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
52.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
25.0%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
46.7%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64))))
66.0%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -5 binary64))))
61.4%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal -5/3 binary64)))))
25.3%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64)))))
4.1%
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
Compiler

Compiled 2 476 to 980 computations (60.4% saved)

regimes341.0ms (3.6%)

Memory
-160.1MiB live, 97.0MiB allocated
Counts
105 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64)))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -5 binary64))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal -5/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (fma.f64 x x x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))) (-.f64 (-.f64 #s(literal -1 binary64) x) x))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))))
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 x (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (*.f64 x (sqrt.f64 x))) (cbrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x))) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (pow (+ x 1) 1/3)) (*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)))
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x x))))) #s(literal 1/3 binary64)))))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (cbrt.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))))))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (pow (+ x 1) 1/3)) (*.f64 x (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))) x))
Outputs
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))))
Calls

2 calls:

28.0ms
x
21.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
98.4%1x
98.4%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes44.0ms (0.5%)

Memory
8.6MiB live, 85.9MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64)))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -5 binary64))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal -5/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (fma.f64 x x x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))) (-.f64 (-.f64 #s(literal -1 binary64) x) x))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
Calls

2 calls:

21.0ms
x
19.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
96.9%1x
96.9%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes18.0ms (0.2%)

Memory
-0.9MiB live, 37.8MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
Calls

2 calls:

9.0ms
x
8.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
89.3%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
92.5%2x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
92.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.2%)

Memory
-29.7MiB live, 13.2MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
92.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
Calls

2 calls:

6.0ms
x
5.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
89.3%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
89.3%1x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.1%)

Memory
-15.7MiB live, 23.0MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
Calls

2 calls:

6.0ms
x
4.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
89.3%1x
89.3%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
89.3%1x
89.3%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Accuracy

Total -1.5b remaining (-2.4%)

Threshold costs -1.5b (-2.4%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
Outputs
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
4.1%1x
4.1%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch20.0ms (0.2%)

Memory
-36.4MiB live, 42.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.042241724507132e+152
6.338446213858047e+155
Samples
12.0ms128×1valid
Compiler

Compiled 211 to 154 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cbrt: 4.0ms (45.3% of total)
adjust: 2.0ms (22.6% of total)
ival-add: 1.0ms (11.3% of total)
ival-sub: 1.0ms (11.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
31.0MiB live, 31.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
1.042241724507132e+152
6.338446213858047e+155
Samples
8.0ms96×1valid
Compiler

Compiled 179 to 138 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cbrt: 2.0ms (34.8% of total)
adjust: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% of total)
ival-sub: 1.0ms (17.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.042241724507132e+152
6.338446213858047e+155
Compiler

Compiled 163 to 122 computations (25.2% saved)

simplify11.0ms (0.1%)

Memory
-22.4MiB live, 18.4MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0794294967474
1934294967474
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 190000000000000002554336558658854307251328941103111221517760272427978167158121388581265962915685917305365907734694073873647470314742497455613285250308767744 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))
Outputs
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 190000000000000002554336558658854307251328941103111221517760272427978167158121388581265962915685917305365907734694073873647470314742497455613285250308767744 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))

soundness1.2s (12.6%)

Memory
-4.5MiB live, 884.4MiB allocated
Rules
13 620×lower-fma.f32
13 614×lower-fma.f64
11 442×lower-fma.f64
11 442×lower-fma.f32
9 808×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03163038
18392812
229302765
377152749
083752611
0616
01016
14316
228216
3310116
0909216
030132
053103
118795
2116295
0880492
0146602
1350564
2900564
32613561
45976561
08122528
03624709
19694491
230164427
089264312
036152
055113
1163106
2834106
37980106
0879197
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 329 to 194 computations (41% saved)

preprocess103.0ms (1.1%)

Memory
16.8MiB live, 96.6MiB allocated
Compiler

Compiled 324 to 132 computations (59.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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