2cbrt (problem 3.3.4)

Time bar (total: 8.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
1×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)

sample1.5s (17.3%)

Memory
30.1MiB live, 1 930.2MiB allocated
Samples
827.0ms6 357×1valid
304.0ms1 622×2valid
17.0ms277×0valid
Precisions
Click to see histograms. Total time spent on operations: 884.0ms
ival-cbrt: 287.0ms (32.5% of total)
adjust: 179.0ms (20.3% of total)
const: 142.0ms (16.1% of total)
ival-add: 111.0ms (12.6% of total)
ival-sub: 80.0ms (9.1% of total)
ival->: 30.0ms (3.4% of total)
ival-<: 30.0ms (3.4% of total)
ival-and: 12.0ms (1.4% of total)
exact: 8.0ms (0.9% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain134.0ms (1.6%)

Memory
15.7MiB live, 183.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-1(18.510883862284683)(-.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))cancellation2532
Confusion
Predicted +Predicted -
+2531
-02
Precision
1.0
Recall
0.9960629921259843
Confusion?
Predicted +Predicted MaybePredicted -
+25310
-011
Precision?
0.996078431372549
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms368×1valid
18.0ms124×2valid
1.0ms20×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-cbrt: 15.0ms (40.8% of total)
adjust: 10.0ms (27.2% of total)
ival-add: 6.0ms (16.3% of total)
ival-sub: 5.0ms (13.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess21.0ms (0.2%)

Memory
-17.7MiB live, 19.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.3%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(cbrt.f64 x)

localize43.0ms (0.5%)

Memory
3.7MiB live, 50.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.5472450683790941
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy0.5557213379159782
(cbrt.f64 x)
accuracy59.1853184268646
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Samples
18.0ms62×2valid
18.0ms184×1valid
0.0ms10×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cbrt: 7.0ms (38.5% of total)
adjust: 5.0ms (27.5% of total)
ival-add: 3.0ms (16.5% of total)
ival-sub: 3.0ms (16.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-14.1MiB live, 24.0MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(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)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x))
4.0ms
x
@inf
((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x))
2.0ms
x
@0
((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x))

simplify105.0ms (1.2%)

Memory
16.1MiB live, 90.9MiB allocated
Algorithm
1×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
2902564
32613561
45974561
08120528
Stop Event
1×iter limit
1×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
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(cbrt x)
(cbrt x)
(cbrt x)
(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))
(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))))))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* 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 (* (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)))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 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 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.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 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x))
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/ (+ (* 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 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 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 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) #s(literal 5/81 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))))) (pow.f64 x #s(literal 3 binary64)))) (*.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 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.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 (/.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 (/.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 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) 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 (neg.f64 x) (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.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 (/.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))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))

rewrite139.0ms (1.6%)

Memory
17.3MiB live, 133.1MiB allocated
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
1×iter limit
1×node limit
1×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
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eval68.0ms (0.8%)

Memory
-15.5MiB live, 98.0MiB allocated
Compiler

Compiled 7 636 to 1 337 computations (82.5% saved)

prune37.0ms (0.4%)

Memory
-5.9MiB live, 71.2MiB allocated
Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New37528403
Fresh000
Picked011
Done000
Total37529404
Accuracy
54.0%
Counts
404 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.0%
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
5.5%
(-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x))
6.1%
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
6.0%
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
6.8%
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x))
7.8%
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)))) (cbrt.f64 x))
▶5.7%
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
7.5%
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
7.4%
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
8.5%
(-.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))
6.5%
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))) (cbrt.f64 x))
8.4%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
7.4%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
8.4%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
6.7%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))))
7.7%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64))))
▶6.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x))))
✓7.3%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
6.8%
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
4.3%
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
▶1.8%
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
3.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
4.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
5.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.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 (/.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 (/.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 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
27.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)))
27.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)))
27.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
27.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)))
▶51.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
Compiler

Compiled 797 to 636 computations (20.2% saved)

simplify282.0ms (3.3%)

Memory
-3.8MiB live, 245.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(cbrt.f64 (-.f64 x #s(literal 1 binary64)))
cost-diff0
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
cost-diff6080
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (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))) (exp.f64 (log.f64 (cbrt.f64 x))))
cost-diff12800
(exp.f64 (log.f64 (cbrt.f64 x)))
cost-diff0
(log1p.f64 x)
cost-diff0
(*.f64 (log1p.f64 x) #s(literal 1/3 binary64))
cost-diff0
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
cost-diff6528
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 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 (/.f64 #s(literal 1 binary64) x) x)
cost-diff0
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
cost-diff0
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
Rules
28 926×lower-fma.f32
28 922×lower-fma.f64
4 250×lower-*.f32
4 246×lower-*.f64
2 766×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032155
058153
182149
2109147
3162147
4255147
5411147
6754147
72467147
83587147
94806147
105536147
115844147
126023147
136174147
146426147
157566147
08238147
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
(*.f64 (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(literal 1/3 binary64)
(-.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 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)))
(*.f64 (log1p.f64 x) #s(literal 1/3 binary64))
(log1p.f64 x)
x
#s(literal 1/3 binary64)
(cbrt.f64 x)
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x))))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(exp.f64 (log.f64 (cbrt.f64 x)))
(log.f64 (cbrt.f64 x))
(cbrt.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(cbrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -1 binary64)
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(neg.f64 (cbrt.f64 x))
(cbrt.f64 x)
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
(*.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))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/3 binary64)
(-.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 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)))
(cbrt.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 (log1p.f64 x) #s(literal 1/3 binary64))
(log1p.f64 x)
x
#s(literal 1/3 binary64)
(cbrt.f64 x)
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(cbrt.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (cbrt.f64 x))
(cbrt.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(cbrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -1 binary64)
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(neg.f64 (cbrt.f64 x))
(cbrt.f64 x)

localize231.0ms (2.7%)

Memory
28.8MiB live, 252.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.5511513183790941
(cbrt.f64 (-.f64 x #s(literal 1 binary64)))
accuracy0.5557213379159782
(cbrt.f64 x)
accuracy30.228246814787273
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy59.387898796148214
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
accuracy0.5472450683790941
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy0.5557213379159782
(cbrt.f64 x)
accuracy4.207163241134273
(exp.f64 (log.f64 (cbrt.f64 x)))
accuracy59.1853184268646
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x))))
accuracy0.359375
(*.f64 (log1p.f64 x) #s(literal 1/3 binary64))
accuracy0.5557213379159782
(cbrt.f64 x)
accuracy4.1849132653018115
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)))
accuracy59.1853184268646
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
accuracy0.5557213379159782
(cbrt.f64 x)
accuracy58.9114583199305
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
accuracy59.1853184268646
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
accuracy0.1484375
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy0.3671875
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
accuracy1.4651762661270606
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
accuracy29.456972531771502
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
Samples
113.0ms184×1valid
85.0ms62×2valid
2.0ms10×0valid
Compiler

Compiled 156 to 30 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-mult: 29.0ms (17.1% of total)
adjust: 26.0ms (15.3% of total)
ival-exp: 23.0ms (13.5% of total)
ival-cbrt: 21.0ms (12.4% of total)
ival-sub: 14.0ms (8.2% of total)
ival-log1p: 14.0ms (8.2% of total)
ival-log: 12.0ms (7.1% of total)
const: 10.0ms (5.9% of total)
ival-add: 8.0ms (4.7% of total)
ival-pow: 6.0ms (3.5% of total)
ival-div: 3.0ms (1.8% of total)
ival-neg: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory
-7.2MiB live, 44.9MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (patch (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) (patch (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) (patch (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt (exp.f64 (log.f64 (cbrt.f64 x))) (patch (exp.f64 (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (patch (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (patch (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (patch (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (patch (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) (patch (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) (patch (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) (patch (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) (patch (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor 0 x) (#s(alt (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) (patch (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* -1/6 x))) (taylor 0 x) (#s(alt (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) (patch (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* x (- (* 1/9 x) 1/6)))) (taylor 0 x) (#s(alt (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) (patch (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6)))) (taylor 0 x) (#s(alt (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) (patch (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (exp.f64 (log.f64 (cbrt.f64 x))) (patch (exp.f64 (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (exp.f64 (log.f64 (cbrt.f64 x))) (patch (exp.f64 (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (exp.f64 (log.f64 (cbrt.f64 x))) (patch (exp.f64 (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (exp.f64 (log.f64 (cbrt.f64 x))) (patch (exp.f64 (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt -1) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (cbrt -1) (* -1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2)))))) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (* x (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))) (pow (cbrt -1) 2)))))) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/3 (/ (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2))) (* 1/3 (/ (* x (- (* 1/27 (/ 1 (pow (cbrt -1) 2))) (+ 1 (* 2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))))) (pow (cbrt -1) 2)))))))) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt -1) (taylor 0 x) (#s(alt (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (cbrt -1) (* 1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2)))))) (taylor 0 x) (#s(alt (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (cbrt -1) (* x (+ (* -1/9 (* x (cbrt (/ 1 (pow (cbrt -1) 7))))) (* 1/3 (cbrt (/ 1 (pow (cbrt -1) 2))))))) (taylor 0 x) (#s(alt (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (exp.f64 (log.f64 (cbrt.f64 x))) (patch (exp.f64 (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (exp.f64 (log.f64 (cbrt.f64 x))) (patch (exp.f64 (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (exp.f64 (log.f64 (cbrt.f64 x))) (patch (exp.f64 (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (exp.f64 (log.f64 (cbrt.f64 x))) (patch (exp.f64 (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1/3 (* (cbrt (pow x 4)) (/ 1 (cbrt -1)))) (* 1/9 (* (cbrt x) (/ 1 (cbrt -1))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (cbrt -1)))) (* 5/81 (* (cbrt (pow x 7)) (/ 1 (cbrt -1))))) (pow x 3))) (* -1/3 (* (cbrt (pow x 4)) (/ 1 (cbrt -1))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1/3 (* (/ 1 (* (pow x 3) (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* 1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (* x (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* -1/3 (* (/ 1 (* x (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* 1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (cbrt -1))) (* 1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (cbrt -1))) (* -5/81 (* (cbrt (pow x 7)) (cbrt -1)))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (cbrt (/ 1 (pow x 7)))) (* (cbrt (/ 1 x)) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 2))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 5)) (cbrt -1))) (* 5/81 (cbrt (/ 1 x)))) (pow x 3))) (* -1/3 (cbrt (pow x 2)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
37.0ms
x
@inf
((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (/ (/ 1 x) x)) 1/3) (cbrt (/ (/ 1 x) x)) (/ (/ 1 x) x) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (exp (* (log (+ 1 x)) 1/3)) (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (* (log (+ 1 x)) 1/3) (log (+ 1 x)) (exp (log (cbrt x))) (- (cbrt (+ x 1)) (exp (log (cbrt x)))) (cbrt (+ x 1)) (+ x 1) (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (pow (cbrt (- x 1)) -1) (cbrt (- x 1)) (- x 1) (cbrt (+ (* x x) -1)))
8.0ms
x
@-inf
((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (/ (/ 1 x) x)) 1/3) (cbrt (/ (/ 1 x) x)) (/ (/ 1 x) x) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (exp (* (log (+ 1 x)) 1/3)) (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (* (log (+ 1 x)) 1/3) (log (+ 1 x)) (exp (log (cbrt x))) (- (cbrt (+ x 1)) (exp (log (cbrt x)))) (cbrt (+ x 1)) (+ x 1) (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (pow (cbrt (- x 1)) -1) (cbrt (- x 1)) (- x 1) (cbrt (+ (* x x) -1)))
7.0ms
x
@0
((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (/ (/ 1 x) x)) 1/3) (cbrt (/ (/ 1 x) x)) (/ (/ 1 x) x) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (exp (* (log (+ 1 x)) 1/3)) (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (* (log (+ 1 x)) 1/3) (log (+ 1 x)) (exp (log (cbrt x))) (- (cbrt (+ x 1)) (exp (log (cbrt x)))) (cbrt (+ x 1)) (+ x 1) (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (pow (cbrt (- x 1)) -1) (cbrt (- x 1)) (- x 1) (cbrt (+ (* x x) -1)))

simplify195.0ms (2.3%)

Memory
5.7MiB live, 196.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 320×lower-fma.f64
10 320×lower-fma.f32
5 562×lower-*.f64
5 562×lower-*.f32
4 258×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04793820
113383558
238573525
080703343
Stop Event
1×iter limit
1×node limit
Counts
240 → 235
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))))
(* 1/3 (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)))
(/ 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
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(- 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 x)
(* x (+ 1/3 (* -1/6 x)))
(* x (+ 1/3 (* x (- (* 1/9 x) 1/6))))
(* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt 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
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
1
(+ 1 x)
(+ 1 x)
(+ 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))
(cbrt -1)
(+ (cbrt -1) (* -1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2))))))
(+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (* x (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))) (pow (cbrt -1) 2))))))
(+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/3 (/ (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2))) (* 1/3 (/ (* x (- (* 1/27 (/ 1 (pow (cbrt -1) 2))) (+ 1 (* 2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))))) (pow (cbrt -1) 2))))))))
(cbrt -1)
(+ (cbrt -1) (* 1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2))))))
(+ (cbrt -1) (* x (+ (* -1/9 (* x (cbrt (/ 1 (pow (cbrt -1) 7))))) (* 1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))))))
(+ (cbrt -1) (* x (+ (* 1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/9 (cbrt (/ 1 (pow (cbrt -1) 7)))) (* 5/81 (/ x (pow (cbrt -1) 4))))))))
-1
(- x 1)
(- x 1)
(- x 1)
(cbrt -1)
(+ (cbrt -1) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 2))))
(+ (cbrt -1) (* (pow x 2) (+ (* -1/9 (/ (pow x 2) (pow (cbrt -1) 5))) (* 1/3 (/ 1 (pow (cbrt -1) 2))))))
(+ (cbrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 5/81 (/ (pow x 2) (pow (cbrt -1) 8))) (* 1/9 (/ 1 (pow (cbrt -1) 5))))) (* 1/3 (/ 1 (pow (cbrt -1) 2))))))
(* 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))))
(* 1/3 (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)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* 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))
(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))))))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(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))))))))
(* 1/3 (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 (log (/ 1 x)))
(+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x)))
(- (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) (/ 1/6 (pow x 2)))
(- (+ (* -1/3 (log (/ 1 x))) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3))))) (/ 1/6 (pow x 2)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(cbrt x)
(cbrt x)
(cbrt x)
(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))
(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))))))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 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))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/3 (cbrt (/ 1 (pow x 5)))) (* -1/9 (cbrt (/ 1 (pow x 8)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/3 (cbrt (/ 1 (pow x 5)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* -5/81 (cbrt (/ 1 (pow x 11))))))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(cbrt (pow x 2))
(* x (+ (cbrt (/ 1 x)) (* -1/3 (cbrt (/ 1 (pow x 7))))))
(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (* -1/9 (cbrt (/ 1 (pow x 13)))))))
(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (+ (* -1/9 (cbrt (/ 1 (pow x 13)))) (* -5/81 (cbrt (/ 1 (pow x 19))))))))
(* 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))))
(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))
(* 1/3 (* (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 (* (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) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -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)))))
(* 1/3 (* (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 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* 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 (* (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)))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/3 (* (cbrt (pow x 4)) (/ 1 (cbrt -1)))) (* 1/9 (* (cbrt x) (/ 1 (cbrt -1))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (cbrt -1)))) (* 5/81 (* (cbrt (pow x 7)) (/ 1 (cbrt -1))))) (pow x 3))) (* -1/3 (* (cbrt (pow x 4)) (/ 1 (cbrt -1))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1/3 (* (/ 1 (* (pow x 3) (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* 1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (* x (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* -1/3 (* (/ 1 (* x (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* 1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (cbrt -1))) (* 1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (cbrt -1))) (* -5/81 (* (cbrt (pow x 7)) (cbrt -1)))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* x (+ (* 1/3 (cbrt (/ 1 (pow x 7)))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 2))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 5)) (cbrt -1))) (* 5/81 (cbrt (/ 1 x)))) (pow x 3))) (* -1/3 (cbrt (pow x 2)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1)))))
Outputs
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.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))
(* 1/3 (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))
(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)))
(/ 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))
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
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(*.f64 (neg.f64 x) (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal -5/81 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) #s(literal -1/9 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (*.f64 x x)))
(* -1 (* x (+ (* 1/3 (cbrt (/ 1 (pow x 7)))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(*.f64 (neg.f64 x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 2))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(*.f64 (neg.f64 x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -1/3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 5)) (cbrt -1))) (* 5/81 (cbrt (/ 1 x)))) (pow x 3))) (* -1/3 (cbrt (pow x 2)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(*.f64 (neg.f64 x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 x x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5/81 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))

rewrite209.0ms (2.5%)

Memory
-22.1MiB live, 261.4MiB allocated
Rules
5 464×lower-fma.f32
5 460×lower-fma.f64
2 134×lower-*.f32
2 130×lower-*.f64
2 104×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032124
058110
1191102
21214101
0986298
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 508
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
(*.f64 (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(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
(cbrt.f64 x)
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
(*.f64 (log1p.f64 x) #s(literal 1/3 binary64))
(log1p.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (log.f64 (cbrt.f64 x))))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(cbrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))
Outputs
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eval331.0ms (3.9%)

Memory
15.4MiB live, 496.0MiB allocated
Compiler

Compiled 38 727 to 3 920 computations (89.9% saved)

prune92.0ms (1.1%)

Memory
23.8MiB live, 183.7MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New1 872241 896
Fresh20323
Picked325
Done011
Total1 895301 925
Accuracy
99.1%
Counts
1 925 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.0%
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x)))
✓6.0%
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
6.0%
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
✓7.3%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
▶5.4%
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
3.3%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
27.6%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)))
27.4%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
27.7%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)))
50.3%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
5.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.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 (/.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 (/.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 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
27.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)))
96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))
96.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))))
▶96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
▶96.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
47.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
88.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))))
▶89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
51.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
51.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
✓51.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
▶51.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
51.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
49.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
27.0%
#s(approx (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))))
Compiler

Compiled 827 to 665 computations (19.6% saved)

simplify44.0ms (0.5%)

Memory
-8.6MiB live, 29.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
cost-diff704
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff13248
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
cost-diff0
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
cost-diff6464
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
cost-diff0
(*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
cost-diff256
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
cost-diff320
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))
cost-diff0
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
cost-diff0
(cbrt.f64 x)
cost-diff0
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
cost-diff0
(cbrt.f64 x)
cost-diff0
(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))))
cost-diff384
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
Rules
486×lower-fma.f64
486×lower-fma.f32
428×lower-*.f32
420×lower-*.f64
176×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034212
052178
177163
2119163
3142163
4163163
5187163
6237161
7306161
8433161
9571161
10853161
111034161
121185161
131210161
141215161
01215148
Stop Event
1×iter limit
1×saturated
1×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)
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(cbrt.f64 x)
x
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 x))
#s(literal -2 binary64)
(log.f64 x)
x
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
(cbrt.f64 x)
x
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #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))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(cbrt.f64 x)
x
#s(literal 2 binary64)
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(cbrt.f64 x)
x
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
(*.f64 #s(literal -2 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal -2 binary64))
#s(literal -2 binary64)
(log.f64 x)
x
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
(cbrt.f64 x)
x
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal 1 binary64)
#s(literal 1/3 binary64)

localize203.0ms (2.4%)

Memory
6.3MiB live, 283.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.203125
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
accuracy0.3671875
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
accuracy1.4651762661270606
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
accuracy29.456972531771502
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy0.3671875
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
accuracy0.4560737793053261
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
accuracy0.5557213379159782
(cbrt.f64 x)
accuracy1.4651762661270606
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
accuracy0.35546875
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))
accuracy0.3671875
(*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
accuracy1.4651762661270606
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
accuracy5.0919988676125385
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
accuracy0.015625
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
accuracy0.5557213379159782
(cbrt.f64 x)
accuracy58.9114583199305
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
accuracy0.4296875
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
accuracy0.5084762695368841
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
accuracy0.5557213379159782
(cbrt.f64 x)
accuracy1.4651762661270606
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
Samples
106.0ms185×1valid
61.0ms61×2valid
7.0ms10×0valid
Compiler

Compiled 169 to 30 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
const: 23.0ms (16.2% of total)
ival-mult: 20.0ms (14.1% of total)
ival-sub: 18.0ms (12.7% of total)
adjust: 16.0ms (11.3% of total)
ival-pow: 14.0ms (9.9% of total)
ival-cbrt: 11.0ms (7.7% of total)
ival-pow2: 11.0ms (7.7% of total)
ival-exp: 9.0ms (6.3% of total)
ival-div: 6.0ms (4.2% of total)
ival-add: 6.0ms (4.2% of total)
ival-log: 6.0ms (4.2% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series107.0ms (1.3%)

Memory
0.8MiB live, 174.7MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())
#s(alt (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (patch (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) (patch (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) (taylor -inf x) (#s(alt (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) (taylor -inf x) (#s(alt (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) (taylor -inf x) (#s(alt (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) (taylor -inf x) (#s(alt (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) (taylor -inf x) (#s(alt (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) (taylor -inf x) (#s(alt (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) (taylor -inf x) (#s(alt (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
42.0ms
x
@-inf
((/ 1/3 (pow (cbrt x) 2)) (- (cbrt (+ x 1)) (cbrt x)) (pow (cbrt x) 2) (cbrt x) (+ (cbrt x) (cbrt (+ x 1))) (cbrt (+ x 1)) (* (* -2 (log x)) 1/3) (exp (* (* -2 (log x)) 1/3)) (- (cbrt (+ x 1)) (cbrt x)) (* (exp (* (* -2 (log x)) 1/3)) 1/3) (pow (pow (cbrt x) -1) 2) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (pow (cbrt x) -1) 2) 1/3) (pow (cbrt x) -1) (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)) (/ (pow x -1/2) 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))) 1/3) (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))) (/ (pow x -1/2) x))
41.0ms
x
@0
((/ 1/3 (pow (cbrt x) 2)) (- (cbrt (+ x 1)) (cbrt x)) (pow (cbrt x) 2) (cbrt x) (+ (cbrt x) (cbrt (+ x 1))) (cbrt (+ x 1)) (* (* -2 (log x)) 1/3) (exp (* (* -2 (log x)) 1/3)) (- (cbrt (+ x 1)) (cbrt x)) (* (exp (* (* -2 (log x)) 1/3)) 1/3) (pow (pow (cbrt x) -1) 2) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (pow (cbrt x) -1) 2) 1/3) (pow (cbrt x) -1) (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)) (/ (pow x -1/2) 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))) 1/3) (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))) (/ (pow x -1/2) x))
16.0ms
x
@inf
((/ 1/3 (pow (cbrt x) 2)) (- (cbrt (+ x 1)) (cbrt x)) (pow (cbrt x) 2) (cbrt x) (+ (cbrt x) (cbrt (+ x 1))) (cbrt (+ x 1)) (* (* -2 (log x)) 1/3) (exp (* (* -2 (log x)) 1/3)) (- (cbrt (+ x 1)) (cbrt x)) (* (exp (* (* -2 (log x)) 1/3)) 1/3) (pow (pow (cbrt x) -1) 2) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (pow (cbrt x) -1) 2) 1/3) (pow (cbrt x) -1) (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)) (/ (pow x -1/2) 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))) 1/3) (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))) (/ (pow x -1/2) x))

simplify157.0ms (1.9%)

Memory
-17.5MiB live, 248.8MiB allocated
Algorithm
1×egg-herbie
Rules
8 416×lower-fma.f64
8 416×lower-fma.f32
4 210×lower-*.f64
4 210×lower-*.f32
2 208×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02002817
14912619
213022611
331212605
472032605
081552500
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 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 (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))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(+ 1 (cbrt x))
(+ 1 (+ (cbrt x) (* 1/3 x)))
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x)))))
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(* -2/3 (log x))
(* -2/3 (log x))
(* -2/3 (log x))
(* -2/3 (log x))
(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))))
(* 1/3 (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)))
(- 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))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
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(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 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))))
(* 1/3 (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)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
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(sqrt (/ 1 (pow x 3)))
(* 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))))
(/ (+ (* -1/9 (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))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* 2 (cbrt x))
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))))
(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))))))))
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(/ (+ (* -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))
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(/ (+ (* -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))
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(/ 1 (pow x 2))
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(/ 1 (pow x 2))
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(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
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(/ (+ (* -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))
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(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
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(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
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(/ (+ (* -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))
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(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3)))
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(* -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)))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (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))))
(* (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 (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 (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 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 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 (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)))
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)))
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)))
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)))
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))
Outputs
(* 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 (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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(+ 1 (cbrt x))
(+.f64 (cbrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (cbrt x) (* 1/3 x)))
(fma.f64 x #s(literal 1/3 binary64) (+.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x)))))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (+.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (+.f64 (cbrt.f64 x) #s(literal 1 binary64)))
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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(* -2/3 (log x))
(*.f64 (log.f64 x) #s(literal -2/3 binary64))
(* -2/3 (log x))
(*.f64 (log.f64 x) #s(literal -2/3 binary64))
(* -2/3 (log x))
(*.f64 (log.f64 x) #s(literal -2/3 binary64))
(* -2/3 (log x))
(*.f64 (log.f64 x) #s(literal -2/3 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)))
(- 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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.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))
(* 1/3 (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))
(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)))
(- 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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.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))
(* 1/3 (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))
(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 (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))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.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))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.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))
(* 1/3 (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))
(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)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.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 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* 2 (cbrt x))
(*.f64 (cbrt.f64 x) #s(literal 2 binary64))
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))) x)
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))) x)
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))))
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))))) x)
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x 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))))))))
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(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2/3 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)))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (+ (* 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 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 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 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/9 binary64) (*.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))))) (pow.f64 x #s(literal 3 binary64)))) (*.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 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.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 (/.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 (/.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 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (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))
(* (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))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (+ (* 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 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 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 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/9 binary64) (*.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))))) (pow.f64 x #s(literal 3 binary64)))) (*.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 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.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 (/.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 (/.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 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.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))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (+ (* 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 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 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 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/9 binary64) (*.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))))) (pow.f64 x #s(literal 3 binary64)))) (*.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 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.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 (/.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 (/.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 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)))
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)))
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)))
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)))
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (cbrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))

rewrite256.0ms (3%)

Memory
28.9MiB live, 184.9MiB allocated
Rules
6 262×lower-fma.f64
6 262×lower-fma.f32
3 884×lower-*.f32
3 876×lower-*.f64
2 880×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034183
052149
1164134
2847130
37282130
08259117
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 895
Calls
Call 1
Inputs
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.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)
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #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 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
Outputs
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eval283.0ms (3.4%)

Memory
-28.1MiB live, 219.5MiB allocated
Compiler

Compiled 16 328 to 2 848 computations (82.6% saved)

prune106.0ms (1.3%)

Memory
7.6MiB live, 132.4MiB allocated
Pruning

51 alts after pruning (46 fresh and 5 done)

PrunedKeptTotal
New1 172331 205
Fresh91322
Picked325
Done033
Total1 184511 235
Accuracy
99.8%
Counts
1 235 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.0%
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x)))
✓6.0%
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
6.0%
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
✓7.3%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
▶5.4%
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
✓5.4%
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
3.3%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
27.6%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)))
27.4%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
27.7%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)))
50.3%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
5.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.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 (/.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 (/.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 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
27.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)))
96.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
96.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (cbrt.f64 #s(literal -1 binary64))))
▶91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
96.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
96.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))
90.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))))
✓96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
88.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
▶96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))
50.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
95.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
96.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
71.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
47.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
89.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64)))
89.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64)))
96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))
96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
96.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
88.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))
▶96.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
▶96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
96.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) #s(literal 1/3 binary64)))
96.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
95.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))))
58.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) x))) #s(literal 1/3 binary64)))
89.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))) #s(literal 1/3 binary64)))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)))
✓51.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
51.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
27.0%
#s(approx (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))))
Compiler

Compiled 1 253 to 1 035 computations (17.4% saved)

simplify38.0ms (0.4%)

Memory
-19.2MiB live, 20.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff0
(cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
cost-diff0
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x))))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
cost-diff0
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
cost-diff1088
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
cost-diff0
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
cost-diff320
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)))
cost-diff0
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
cost-diff0
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
cost-diff64
(pow.f64 x #s(literal 1/3 binary64))
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x)))
cost-diff0
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
Rules
188×lower-*.f32
178×lower-*.f64
148×lower-fma.f64
148×lower-fma.f32
72×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038235
060223
189223
2128223
3168223
4191223
5209223
6248223
7285223
8347223
9375223
10413223
11427223
12429223
0429223
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(cbrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 1/3 binary64)
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal -1/6 binary64))
x
#s(literal -1/6 binary64)
#s(literal 1/3 binary64)
(sqrt.f64 x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(cbrt.f64 x)
x
#s(literal -2 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(cbrt.f64 (neg.f64 x))
(neg.f64 x)
(cbrt.f64 (sqrt.f64 x))
#s(literal 1/3 binary64)
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(cbrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 1/3 binary64)
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1/3 binary64))
(cbrt.f64 x)
x
#s(literal 1/3 binary64)
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/6 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal -1/6 binary64))
x
#s(literal -1/6 binary64)
#s(literal 1/3 binary64)
(sqrt.f64 x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(cbrt.f64 x)
x
#s(literal -2 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(cbrt.f64 (neg.f64 x))
(neg.f64 x)
(cbrt.f64 (sqrt.f64 x))
#s(literal 1/3 binary64)

localize250.0ms (3%)

Memory
6.8MiB live, 162.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.4863663086106521
(cbrt.f64 (sqrt.f64 x))
accuracy0.5557213379159782
(cbrt.f64 (neg.f64 x))
accuracy0.6091576660635145
(cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
accuracy1.4651762661270606
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
accuracy0.4296875
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
accuracy0.47951127930532605
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
accuracy0.5557213379159782
(cbrt.f64 x)
accuracy1.4651762661270606
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
accuracy0.38671875
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))
accuracy0.40625
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))
accuracy1.4651762661270606
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
accuracy4.077494413835504
(pow.f64 x #s(literal -1/6 binary64))
accuracy0.015625
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
accuracy4.980348940872657
(pow.f64 x #s(literal 1/3 binary64))
accuracy58.9114583199305
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
accuracy0.33431625976844204
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x)))
accuracy0.3671875
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))
accuracy0.4863663086106521
(cbrt.f64 (sqrt.f64 x))
accuracy1.4651762661270606
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
Samples
115.0ms185×1valid
39.0ms61×2valid
3.0ms10×0valid
Compiler

Compiled 187 to 33 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-div: 36.0ms (29.6% of total)
ival-pow: 21.0ms (17.3% of total)
adjust: 14.0ms (11.5% of total)
ival-cbrt: 13.0ms (10.7% of total)
const: 11.0ms (9% of total)
ival-mult: 10.0ms (8.2% of total)
ival-sub: 8.0ms (6.6% of total)
ival-add: 6.0ms (4.9% of total)
ival-sqrt: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series384.0ms (4.5%)

Memory
33.4MiB live, 384.6MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (patch (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (sqrt.f64 x)) (patch (cbrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal -1/6 binary64)) (patch (pow.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())
#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (cbrt x)) (taylor 0 x) (#s(alt (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (patch (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (cbrt x) (* 1/3 x))) (taylor 0 x) (#s(alt (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (patch (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x))))) (taylor 0 x) (#s(alt (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (patch (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) (taylor 0 x) (#s(alt (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (patch (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)) (taylor -inf x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)) (taylor -inf x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)) (taylor -inf x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)) (taylor -inf x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (/ -1 x) 1/6) (* (cbrt -1) (cbrt (/ 1 (sqrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (/ -1 x) 1/6) (* (cbrt -1) (cbrt (/ 1 (sqrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (/ -1 x) 1/6) (* (cbrt -1) (cbrt (/ 1 (sqrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (/ -1 x) 1/6) (* (cbrt -1) (cbrt (/ 1 (sqrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/6) (cbrt (sqrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (sqrt.f64 x)) (patch (cbrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/6) (cbrt (sqrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (sqrt.f64 x)) (patch (cbrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/6) (cbrt (sqrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (sqrt.f64 x)) (patch (cbrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/6) (cbrt (sqrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (sqrt.f64 x)) (patch (cbrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/6 (+ (log -1) (log (/ -1 x))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1/6 binary64)) (patch (pow.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/6 (+ (log -1) (log (/ -1 x))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1/6 binary64)) (patch (pow.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/6 (+ (log -1) (log (/ -1 x))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1/6 binary64)) (patch (pow.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/6 (+ (log -1) (log (/ -1 x))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1/6 binary64)) (patch (pow.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (cbrt x)) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cbrt x)) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cbrt x)) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cbrt x)) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
173.0ms
x
@-inf
((- (cbrt (+ x 1)) (cbrt x)) (* (/ (pow x -1/2) (cbrt (sqrt x))) 1/3) (/ (pow x -1/2) (cbrt (sqrt x))) (pow x -1/2) (pow x 1/3) (+ (pow x 1/3) (cbrt (+ x 1))) (cbrt (+ x 1)) (* 1 (* (pow x -1/6) 1/3)) (- (cbrt (+ x 1)) (cbrt x)) (/ (* 1 (* (pow x -1/6) 1/3)) (sqrt x)) (* (pow x -1/6) 1/3) (/ 1/3 (/ 1 (pow (cbrt x) -2))) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (cbrt x) -2)) (pow (cbrt x) -2) (- (cbrt (+ x 1)) (cbrt x)) (/ (cbrt (/ -1 (sqrt x))) (* (cbrt (neg x)) (cbrt (sqrt x)))) (cbrt (/ -1 (sqrt x))) (/ -1 (sqrt x)) (cbrt (sqrt x)) (pow x -1/6) (cbrt x) (cbrt (neg x)))
113.0ms
x
@0
((- (cbrt (+ x 1)) (cbrt x)) (* (/ (pow x -1/2) (cbrt (sqrt x))) 1/3) (/ (pow x -1/2) (cbrt (sqrt x))) (pow x -1/2) (pow x 1/3) (+ (pow x 1/3) (cbrt (+ x 1))) (cbrt (+ x 1)) (* 1 (* (pow x -1/6) 1/3)) (- (cbrt (+ x 1)) (cbrt x)) (/ (* 1 (* (pow x -1/6) 1/3)) (sqrt x)) (* (pow x -1/6) 1/3) (/ 1/3 (/ 1 (pow (cbrt x) -2))) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (cbrt x) -2)) (pow (cbrt x) -2) (- (cbrt (+ x 1)) (cbrt x)) (/ (cbrt (/ -1 (sqrt x))) (* (cbrt (neg x)) (cbrt (sqrt x)))) (cbrt (/ -1 (sqrt x))) (/ -1 (sqrt x)) (cbrt (sqrt x)) (pow x -1/6) (cbrt x) (cbrt (neg x)))
89.0ms
x
@inf
((- (cbrt (+ x 1)) (cbrt x)) (* (/ (pow x -1/2) (cbrt (sqrt x))) 1/3) (/ (pow x -1/2) (cbrt (sqrt x))) (pow x -1/2) (pow x 1/3) (+ (pow x 1/3) (cbrt (+ x 1))) (cbrt (+ x 1)) (* 1 (* (pow x -1/6) 1/3)) (- (cbrt (+ x 1)) (cbrt x)) (/ (* 1 (* (pow x -1/6) 1/3)) (sqrt x)) (* (pow x -1/6) 1/3) (/ 1/3 (/ 1 (pow (cbrt x) -2))) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (cbrt x) -2)) (pow (cbrt x) -2) (- (cbrt (+ x 1)) (cbrt x)) (/ (cbrt (/ -1 (sqrt x))) (* (cbrt (neg x)) (cbrt (sqrt x)))) (cbrt (/ -1 (sqrt x))) (/ -1 (sqrt x)) (cbrt (sqrt x)) (pow x -1/6) (cbrt x) (cbrt (neg x)))

simplify512.0ms (6.1%)

Memory
3.8MiB live, 191.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 364×lower-fma.f64
8 364×lower-fma.f32
4 592×lower-*.f64
4 592×lower-*.f32
1 954×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02143065
15182875
215552863
332082833
458802821
082412716
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
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))))
(* 1/3 (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)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(+ 1 (cbrt x))
(+ 1 (+ (cbrt x) (* 1/3 x)))
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x)))))
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(* 1/3 (pow (/ 1 x) 1/6))
(* 1/3 (pow (/ 1 x) 1/6))
(* 1/3 (pow (/ 1 x) 1/6))
(* 1/3 (pow (/ 1 x) 1/6))
(- 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))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (pow (/ 1 x) 1/6))
(* 1/3 (pow (/ 1 x) 1/6))
(* 1/3 (pow (/ 1 x) 1/6))
(* 1/3 (pow (/ 1 x) 1/6))
(* 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 (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))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (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))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (pow (/ 1 x) 1/6) (cbrt -1))
(* (pow (/ 1 x) 1/6) (cbrt -1))
(* (pow (/ 1 x) 1/6) (cbrt -1))
(* (pow (/ 1 x) 1/6) (cbrt -1))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(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)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* 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))))
(* 1/3 (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)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* 2 (cbrt x))
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))))
(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))))))))
(* 1/3 (pow (/ 1 x) 1/6))
(* 1/3 (pow (/ 1 x) 1/6))
(* 1/3 (pow (/ 1 x) 1/6))
(* 1/3 (pow (/ 1 x) 1/6))
(* 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))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (pow (/ 1 x) 1/6))
(* 1/3 (pow (/ 1 x) 1/6))
(* 1/3 (pow (/ 1 x) 1/6))
(* 1/3 (pow (/ 1 x) 1/6))
(* 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))))
(/ (+ (* -1/9 (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))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* 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))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (pow (/ 1 x) 1/6) (cbrt -1))
(* (pow (/ 1 x) 1/6) (cbrt -1))
(* (pow (/ 1 x) 1/6) (cbrt -1))
(* (pow (/ 1 x) 1/6) (cbrt -1))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(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)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* 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 (/ (pow (sqrt -1) 2) (pow x 2))))
(* 1/3 (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))
(* 1/3 (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))
(* 1/3 (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))
(cbrt (/ (pow (sqrt -1) 2) (pow x 2)))
(cbrt (/ (pow (sqrt -1) 2) (pow x 2)))
(cbrt (/ (pow (sqrt -1) 2) (pow x 2)))
(cbrt (/ (pow (sqrt -1) 2) (pow x 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -2 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 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))) (* 2 (* (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))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))
(* -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)))))
(* 1/3 (exp (* 1/6 (+ (log -1) (log (/ -1 x))))))
(* 1/3 (exp (* 1/6 (+ (log -1) (log (/ -1 x))))))
(* 1/3 (exp (* 1/6 (+ (log -1) (log (/ -1 x))))))
(* 1/3 (exp (* 1/6 (+ (log -1) (log (/ -1 x))))))
(* 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 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))))
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))))
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))))
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))))
(* 1/3 (exp (* 1/6 (+ (log -1) (log (/ -1 x))))))
(* 1/3 (exp (* 1/6 (+ (log -1) (log (/ -1 x))))))
(* 1/3 (exp (* 1/6 (+ (log -1) (log (/ -1 x))))))
(* 1/3 (exp (* 1/6 (+ (log -1) (log (/ -1 x))))))
(* 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))))
(* 1/3 (* (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 (* (cbrt (pow x 2)) (pow (cbrt -1) 3)))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3)))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3)))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3)))
(* (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 (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 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(* (pow (/ -1 x) 1/6) (* (cbrt -1) (cbrt (/ 1 (sqrt -1)))))
(* (pow (/ -1 x) 1/6) (* (cbrt -1) (cbrt (/ 1 (sqrt -1)))))
(* (pow (/ -1 x) 1/6) (* (cbrt -1) (cbrt (/ 1 (sqrt -1)))))
(* (pow (/ -1 x) 1/6) (* (cbrt -1) (cbrt (/ 1 (sqrt -1)))))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(exp (* 1/6 (+ (log -1) (log (/ -1 x)))))
(exp (* 1/6 (+ (log -1) (log (/ -1 x)))))
(exp (* 1/6 (+ (log -1) (log (/ -1 x)))))
(exp (* 1/6 (+ (log -1) (log (/ -1 x)))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
Outputs
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.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))
(* 1/3 (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))
(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)))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.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)
(+ 1 (cbrt x))
(+.f64 (cbrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (cbrt x) (* 1/3 x)))
(fma.f64 #s(literal 1/3 binary64) x (+.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x)))))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (+.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (+.f64 (cbrt.f64 x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(* 1/3 (pow (/ 1 x) 1/6))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))
(* 1/3 (pow (/ 1 x) 1/6))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))
(* 1/3 (pow (/ 1 x) 1/6))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))
(* 1/3 (pow (/ 1 x) 1/6))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.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))
(* 1/3 (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 (pow (/ 1 x) 1/6))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))
(* 1/3 (pow (/ 1 x) 1/6))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))
(* 1/3 (pow (/ 1 x) 1/6))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))
(* 1/3 (pow (/ 1 x) 1/6))
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(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.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 (/.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 (/.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 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3)))
(cbrt.f64 (*.f64 x x))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3)))
(cbrt.f64 (*.f64 x x))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3)))
(cbrt.f64 (*.f64 x x))
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3)))
(cbrt.f64 (*.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))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (+ (* 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 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 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 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) #s(literal 5/81 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))))) (pow.f64 x #s(literal 3 binary64)))) 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 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.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 (/.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 (/.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 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (cbrt.f64 #s(literal -1 binary64)))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (cbrt.f64 #s(literal -1 binary64)))
(* (pow (/ -1 x) 1/6) (* (cbrt -1) (cbrt (/ 1 (sqrt -1)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)))
(* (pow (/ -1 x) 1/6) (* (cbrt -1) (cbrt (/ 1 (sqrt -1)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)))
(* (pow (/ -1 x) 1/6) (* (cbrt -1) (cbrt (/ 1 (sqrt -1)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)))
(* (pow (/ -1 x) 1/6) (* (cbrt -1) (cbrt (/ 1 (sqrt -1)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(* (pow (* -1 x) 1/6) (cbrt (sqrt -1)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(exp (* 1/6 (+ (log -1) (log (/ -1 x)))))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (log (/ -1 x)))))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (log (/ -1 x)))))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (log (/ -1 x)))))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (cbrt x))
(neg.f64 (cbrt.f64 x))
(* -1 (cbrt x))
(neg.f64 (cbrt.f64 x))
(* -1 (cbrt x))
(neg.f64 (cbrt.f64 x))
(* -1 (cbrt x))
(neg.f64 (cbrt.f64 x))

rewrite208.0ms (2.5%)

Memory
5.6MiB live, 287.8MiB allocated
Rules
6 388×lower-fma.f64
6 388×lower-fma.f32
5 122×lower-*.f32
5 112×lower-*.f64
3 844×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038185
060180
1203178
21015148
08327138
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 996
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 x #s(literal 1/3 binary64))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(cbrt.f64 (sqrt.f64 x))
(pow.f64 x #s(literal -1/6 binary64))
(cbrt.f64 x)
(cbrt.f64 (neg.f64 x))
Outputs
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eval455.0ms (5.4%)

Memory
-34.8MiB live, 232.9MiB allocated
Compiler

Compiled 18 918 to 3 313 computations (82.5% saved)

prune184.0ms (2.2%)

Memory
11.4MiB live, 251.1MiB allocated
Pruning

68 alts after pruning (61 fresh and 7 done)

PrunedKeptTotal
New1 280271 307
Fresh73441
Picked325
Done055
Total1 290681 358
Accuracy
99.8%
Counts
1 358 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.0%
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x)))
✓6.0%
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
6.0%
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
✓7.3%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓5.4%
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
✓5.4%
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
3.3%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
27.6%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)))
27.4%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
27.7%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)))
50.3%
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
5.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.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 (/.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 (/.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 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
27.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)))
96.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)))
91.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x)))
96.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (cbrt.f64 #s(literal -1 binary64))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) (sqrt.f64 x)))
96.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/3 binary64))) (sqrt.f64 x)))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (* 1 (* (pow x -1/6) 1/3)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
96.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
88.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4/3 binary64))))
✓96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
88.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
90.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 5/12 binary64)) (pow.f64 x #s(literal -1/4 binary64)))))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))))
✓96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
88.6%
#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)))))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))))))
50.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (cbrt x) -2) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))
50.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
96.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
71.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
47.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
88.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64)))
89.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64)))
96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
96.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
90.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -5/12 binary64)) #s(literal 1/3 binary64))))
88.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))
96.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
91.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 1/3 binary64)))
96.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal -1/8 binary64)) (pow.f64 x #s(literal -1/4 binary64)))) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
96.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
96.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
96.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/6 binary64)))))
58.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) x))) #s(literal 1/3 binary64)))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/12 binary64))) (/.f64 (pow.f64 x #s(literal -1/12 binary64)) (sqrt.f64 x))))
90.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -5/12 binary64))))
89.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))) #s(literal 1/3 binary64)))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)))
✓51.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
51.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
91.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
27.0%
#s(approx (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))))
Compiler

Compiled 2 222 to 1 187 computations (46.6% saved)

regimes110.0ms (1.3%)

Memory
-28.4MiB live, 128.5MiB allocated
Counts
113 → 1
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#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 (- (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) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#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 #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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/6 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (cbrt x) -2) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (* 1 (* (pow x -1/6) 1/3)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 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 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -5/12 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -5/12 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 5/12 binary64)) (pow.f64 x #s(literal -1/4 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/12 binary64))) (/.f64 (pow.f64 x #s(literal -1/12 binary64)) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (cbrt.f64 #s(literal -1 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 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 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(-.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))) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (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 (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 (exp.f64 (-.f64 (log1p.f64 x) (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal -1/8 binary64)) (pow.f64 x #s(literal -1/4 binary64)))) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)))
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)))
#s(approx (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))))
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.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 (/.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 (/.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 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.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 (/.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 (/.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 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
Calls

2 calls:

48.0ms
x
26.0ms
(-.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 8 to 7 computations (12.5% saved)

regimes39.0ms (0.5%)

Memory
5.1MiB live, 89.6MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#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 (- (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) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#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 #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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/6 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (cbrt x) -2) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (* 1 (* (pow x -1/6) 1/3)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 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 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -5/12 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -5/12 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 5/12 binary64)) (pow.f64 x #s(literal -1/4 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/3 binary64))) (sqrt.f64 x)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
Calls

2 calls:

19.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
18.0ms
x
Results
AccuracySegmentsBranch
96.7%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
96.7%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes34.0ms (0.4%)

Memory
-1.7MiB live, 72.7MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#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 (- (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) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#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 #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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/6 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (cbrt x) -2) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (* 1 (* (pow x -1/6) 1/3)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 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 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -5/12 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -5/12 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 5/12 binary64)) (pow.f64 x #s(literal -1/4 binary64)))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
Calls

2 calls:

17.0ms
x
12.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
96.7%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
96.7%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes20.0ms (0.2%)

Memory
28.4MiB live, 67.5MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#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 (- (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) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#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 #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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/6 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (cbrt x) -2) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (* 1 (* (pow x -1/6) 1/3)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
Calls

2 calls:

11.0ms
x
8.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
96.6%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
96.6%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes28.0ms (0.3%)

Memory
-35.1MiB live, 50.5MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#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 (- (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) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#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 #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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/6 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (cbrt x) -2) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (* 1 (* (pow x -1/6) 1/3)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 1/3 binary64)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (* 1 (* (pow x -1/6) 1/3)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
Calls

2 calls:

12.0ms
x
7.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
91.5%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
93.5%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.1%)

Memory
25.6MiB live, 25.6MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#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 (- (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) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#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 #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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/6 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (cbrt x) -2) (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 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
93.5%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes29.0ms (0.3%)

Memory
-16.5MiB live, 22.8MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#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 (- (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) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#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 #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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))
Calls

1 calls:

28.0ms
x
Results
AccuracySegmentsBranch
93.5%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#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 (- (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) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#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 #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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
93.5%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes8.0ms (0.1%)

Memory
-21.2MiB live, 16.9MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#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 (- (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) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#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 #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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
93.5%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes14.0ms (0.2%)

Memory
-7.2MiB live, 32.9MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#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 (- (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) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#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 #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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.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

2 calls:

8.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
5.0ms
x
Results
AccuracySegmentsBranch
88.6%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
91.9%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#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 (- (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 (sqrt.f64 x) #s(literal -4/3 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
88.6%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
88.6%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory
-15.7MiB live, 23.2MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#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))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
Calls

2 calls:

4.0ms
x
2.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
88.6%1x
88.6%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 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:

3.0ms
x
2.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
88.6%1x
88.6%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory
-23.2MiB live, 14.1MiB allocated
Accuracy

Total -2.4b remaining (-3.9%)

Threshold costs -2.4b (-3.9%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
Outputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
x
1.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
5.4%1x
5.4%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch20.0ms (0.2%)

Memory
16.0MiB live, 53.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
4.670762972002682e+151
4.979645718103361e+154
Samples
13.0ms128×1valid
Compiler

Compiled 162 to 162 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cbrt: 5.0ms (52% of total)
adjust: 2.0ms (20.8% of total)
ival-add: 1.0ms (10.4% of total)
ival-sub: 1.0ms (10.4% 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
4.2MiB live, 4.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.670762972002682e+151
4.979645718103361e+154
Compiler

Compiled 154 to 154 computations (0% saved)

bsearch1.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.670762972002682e+151
4.979645718103361e+154
Compiler

Compiled 138 to 138 computations (0% saved)

bsearch1.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.670762972002682e+151
4.979645718103361e+154
Compiler

Compiled 138 to 138 computations (0% saved)

bsearch1.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.670762972002682e+151
4.979645718103361e+154
Compiler

Compiled 138 to 138 computations (0% saved)

bsearch1.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.670762972002682e+151
4.979645718103361e+154
Compiler

Compiled 114 to 122 computations (-7% saved)

simplify27.0ms (0.3%)

Memory
-9.8MiB live, 74.9MiB allocated
Algorithm
1×egg-herbie
Rules
28×*-commutative-binary64-*.f64
2×1-exp-binary32-exp.f32
2×1-exp-binary64-exp.f64
2×*-lft-identity-binary64-*.f64
2×+-commutative-binary64-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084336
1103336
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) #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 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (* 1 (* (pow x -1/6) 1/3)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #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 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 (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) (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)))
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64))) (sqrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #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 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (* 1 (* (pow x -1/6) 1/3)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/6 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 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/6 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #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 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 (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) (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)))
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))

soundness1.4s (16.2%)

Memory
-3.3MiB live, 1 156.4MiB allocated
Rules
8 364×lower-fma.f64
8 364×lower-fma.f32
6 388×lower-fma.f64
6 388×lower-fma.f32
6 306×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032124
058110
1191102
21214101
0986298
0146602
1350564
2902564
32613561
45974561
08120528
02143065
15182875
215552863
332082833
458802821
082412716
034183
052149
1164134
2847130
37282130
08259117
038185
060180
1203178
21015148
08327138
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 660 to 499 computations (24.4% saved)

preprocess79.0ms (0.9%)

Memory
6.0MiB live, 200.7MiB allocated
Compiler

Compiled 442 to 184 computations (58.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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