2cbrt (problem 3.3.4)

Time bar (total: 8.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze33.0ms (0.4%)

Memory
-43.4MiB live, 1.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (19.4%)

Memory
76.2MiB live, 2 705.9MiB allocated
Samples
921.0ms6 340×1valid
306.0ms1 642×2valid
44.0ms274×0valid
Precisions
Click to see histograms. Total time spent on operations: 984.0ms
ival-cbrt: 301.0ms (30.6% of total)
adjust: 175.0ms (17.8% of total)
ival-add: 172.0ms (17.5% of total)
const: 161.0ms (16.4% of total)
ival-sub: 100.0ms (10.2% of total)
ival->: 27.0ms (2.7% of total)
ival-<: 23.0ms (2.3% of total)
ival-and: 13.0ms (1.3% of total)
exact: 8.0ms (0.8% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain110.0ms (1.3%)

Memory
7.0MiB live, 246.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(cbrt.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))cancellation2550
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-001
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
40.0ms388×1valid
20.0ms108×2valid
1.0ms16×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-cbrt: 18.0ms (44.3% of total)
adjust: 10.0ms (24.6% of total)
ival-add: 6.0ms (14.8% of total)
ival-sub: 6.0ms (14.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess19.0ms (0.2%)

Memory
0.9MiB live, 39.7MiB allocated
Algorithm
egg-herbie
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
46×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11817
24116
37316
412116
517816
620116
721216
067
0107
1157
2197
3257
4337
5487
6807
71067
81507
91657
101737
01737
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Outputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.5%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify10.0ms (0.1%)

Memory
-22.7MiB live, 16.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize41.0ms (0.5%)

Memory
-2.3MiB live, 81.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.46359257814753624
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy0.4658775879159782
(cbrt.f64 x)
accuracy59.8409239142048
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Samples
26.0ms194×1valid
8.0ms54×2valid
0.0ms0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cbrt: 8.0ms (41.7% of total)
adjust: 5.0ms (26% of total)
ival-add: 3.0ms (15.6% of total)
ival-sub: 3.0ms (15.6% 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
-2.4MiB live, 36.2MiB 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
8.0ms
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))

simplify110.0ms (1.3%)

Memory
21.9MiB live, 176.6MiB allocated
Algorithm
egg-herbie
Rules
6 306×lower-fma.f64
6 306×lower-fma.f32
4 226×lower-*.f64
4 226×lower-*.f32
1 638×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146602
1350564
2902564
32613561
45974561
08120528
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
1
(+ 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))

rewrite156.0ms (1.9%)

Memory
-6.4MiB live, 270.9MiB 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
iter limit
node limit
iter limit
Counts
4 → 357
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(cbrt.f64 x)
Outputs
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64))) (pow.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)))) (-.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (-.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64)))))
(*.f64 (/.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (neg.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(*.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (pow.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64))) (*.f64 (cbrt.f64 x) x)) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (sqrt.f64 x) #s(literal 1 binary64))
(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))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(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))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 7 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 7 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (log1p.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/3 binary64))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (cbrt.f64 x)))

eval60.0ms (0.7%)

Memory
14.0MiB live, 131.9MiB allocated
Compiler

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

prune33.0ms (0.4%)

Memory
-22.8MiB live, 94.7MiB allocated
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New37627403
Fresh000
Picked011
Done000
Total37628404
Accuracy
54.9%
Counts
404 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(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)))
5.0%
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
5.1%
(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x))
5.9%
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x))
7.0%
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)))) (cbrt.f64 x))
4.7%
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
6.6%
(-.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))
6.5%
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
7.6%
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
6.3%
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
5.6%
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (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))
4.5%
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x))
6.0%
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x))
7.6%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
7.6%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
6.7%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
7.6%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
5.7%
(-.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))))
6.9%
(-.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))))
6.5%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
6.0%
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
4.2%
(-.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))
4.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
25.9%
#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)))
25.7%
#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)))
26.0%
#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)))
53.1%
#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 667 to 530 computations (20.5% saved)

simplify227.0ms (2.8%)

Memory
5.9MiB live, 244.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
cost-diff0
(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x))
cost-diff320
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff320
(-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.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))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.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))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
cost-diff6528
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 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
13 848×lower-fma.f64
13 848×lower-fma.f32
3 718×lower-*.f32
3 710×lower-*.f64
2 238×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036223
062210
192202
2153199
3262199
4451199
51021199
62003199
73363199
84993199
96210199
106865199
117108199
127211199
137216199
147532199
08101195
Stop Event
iter limit
node limit
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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 2 binary64)
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(exp.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(log.f64 x)
(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
(*.f64 x x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(cbrt.f64 (-.f64 x #s(literal 1 binary64)))
#s(literal 2 binary64)
(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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (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)
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 x)
(pow.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 2 binary64)
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.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)
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(exp.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(log.f64 x)
(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(*.f64 x x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(cbrt.f64 (-.f64 x #s(literal 1 binary64)))
#s(literal 2 binary64)
(cbrt.f64 x)

localize255.0ms (3.1%)

Memory
24.6MiB live, 538.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.4658775879159782
(cbrt.f64 x)
accuracy0.5358200195368841
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
accuracy38.27922585068428
(cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy59.8409239142048
(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x))
accuracy0
(exp.f64 #s(literal 1/3 binary64))
accuracy0.46359257814753624
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy4.245051176756917
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
accuracy59.8409239142048
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
accuracy0.46359257814753624
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy0.5364837890737681
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
accuracy4.078704431743695
(pow.f64 x #s(literal 1/6 binary64))
accuracy59.8409239142048
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
accuracy0.4658775879159782
(cbrt.f64 x)
accuracy58.97839876323143
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
accuracy59.8409239142048
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
accuracy0.14453125
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy0.40234375
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
accuracy1.0263334593831523
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
accuracy28.900324944092812
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
Samples
146.0ms194×1valid
74.0ms54×2valid
2.0ms0valid
Compiler

Compiled 212 to 32 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-pow: 45.0ms (24.5% of total)
const: 23.0ms (12.5% of total)
adjust: 20.0ms (10.9% of total)
ival-cbrt: 19.0ms (10.3% of total)
ival-sub: 17.0ms (9.2% of total)
ival-pow2: 13.0ms (7.1% of total)
ival-mult: 13.0ms (7.1% of total)
ival-exp: 12.0ms (6.5% of total)
ival-log: 12.0ms (6.5% of total)
ival-div: 7.0ms (3.8% of total)
ival-add: 4.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series447.0ms (5.4%)

Memory
-84.3MiB live, 339.8MiB allocated
Counts
21 → 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 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 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 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) (patch (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x)) (patch (-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (patch (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #<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 (exp.f64 #s(literal 1/3 binary64)) (patch (exp.f64 #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 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>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
334.0ms
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) (pow (pow x 1/6) 2) (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow (exp 1/3) (log x)) (- (* (* x x) (- x 1)) (* (- x 1) 1)) (* (- x 1) 1) (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (pow x 1/6) (exp 1/3) (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2))
69.0ms
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) (pow (pow x 1/6) 2) (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow (exp 1/3) (log x)) (- (* (* x x) (- x 1)) (* (- x 1) 1)) (* (- x 1) 1) (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (pow x 1/6) (exp 1/3) (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2))
36.0ms
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) (pow (pow x 1/6) 2) (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow (exp 1/3) (log x)) (- (* (* x x) (- x 1)) (* (- x 1) 1)) (* (- x 1) 1) (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (pow x 1/6) (exp 1/3) (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2))

simplify173.0ms (2.1%)

Memory
-26.9MiB live, 288.8MiB allocated
Algorithm
egg-herbie
Rules
9 152×lower-fma.f64
9 152×lower-fma.f32
6 666×lower-*.f64
6 666×lower-*.f32
3 430×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04313364
111893182
242923158
082113014
Stop Event
iter limit
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)
(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 x)
(cbrt x)
(cbrt x)
(cbrt x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* -1 x) 1)))
(+ 1 (* x (- (* x (- x 1)) 1)))
-1
(- x 1)
(- x 1)
(- x 1)
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
1
(+ 1 (* -1/3 x))
(+ 1 (* x (- (* -4/9 x) 1/3)))
(+ 1 (* x (- (* x (- (* 4/81 x) 4/9)) 1/3)))
1
(+ 1 (* -2/3 x))
(+ 1 (* x (- (* -1/9 x) 2/3)))
(+ 1 (* x (- (* x (- (* -4/81 x) 1/9)) 2/3)))
(* 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)
(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)
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(pow x 3)
(* (pow x 3) (- 1 (/ 1 x)))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 2)))))
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 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))))))))
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x))))
(* x (- (+ 1 (* 4/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* x (cbrt (- (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* x (+ (cbrt (- (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))
(* x (+ (cbrt (- (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))
(* x (+ (cbrt (- (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))
(* 1/3 (* (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 (* (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 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))))
(* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (- (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -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 (pow (cbrt -1) 4)))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 4))))) (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 (pow (cbrt -1) 7)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 10))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 4))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* (cbrt x) (/ 1 (cbrt -1))))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 4)))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 4))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 7)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 10))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 4))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(* -1 (* x (cbrt -1)))
(* -1 (* x (+ (cbrt -1) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (cbrt -1) 2))))))))
(* -1 (* x (+ (cbrt -1) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (- 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (* x (pow (cbrt -1) 2))))) x)))))
(* -1 (* x (+ (cbrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (+ 1 (* 1/27 (/ 1 (pow (cbrt -1) 2)))) (* -2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (- 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))) (* x (pow (cbrt -1) 2)))) (* 1/3 (/ (- 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2)))) x)) (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2))))) x)))))
(* -1 (* (* x (pow (cbrt -1) 2)) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x)))))
(* -1 (* x (+ (* -1/3 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2))))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x)))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 5))))) (* 1/3 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2)))))) (pow x 3))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 5))))) (* -5/81 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 8)))))) (pow x 3))) (* 1/3 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2)))))) (pow x 3))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 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)))
(/ 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))
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(cbrt.f64 x)
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(- (+ 1 (* 1/3 x)) (cbrt x))
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(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
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(pow (* 1 x) 1/6)
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(pow (* 1 x) 1/6)
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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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(/ (+ (* -1/9 (cbrt x)) (+ (* 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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(cbrt x)
(cbrt.f64 x)
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(* 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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(cbrt x)
(cbrt.f64 x)
(cbrt x)
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(cbrt x)
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(cbrt x)
(cbrt.f64 x)
(cbrt x)
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(cbrt x)
(cbrt.f64 x)
(cbrt x)
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(cbrt x)
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(* 1/3 (cbrt (/ 1 (pow x 2))))
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(/ (+ (* -1/9 (cbrt x)) (+ (* 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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(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
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(* 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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x
(* x (+ 1 (/ 1 x)))
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(+.f64 x #s(literal 1 binary64))
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))
#s(literal 0 binary64)
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(cbrt x)
(cbrt.f64 x)
(cbrt x)
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(cbrt x)
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(cbrt x)
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(pow x 3)
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(* (pow x 3) (- 1 (/ 1 x)))
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(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
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(* x (- 1 (/ 1 x)))
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(cbrt x)
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(* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (exp.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (- (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/9 binary64) (-.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (exp.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (neg.f64 x))) (neg.f64 x))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(cbrt.f64 (exp.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(cbrt.f64 (exp.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(cbrt.f64 (exp.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(cbrt.f64 (exp.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(*.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1)))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))) (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 (* x (- (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (*.f64 (neg.f64 x) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 4)))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/3 binary64))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 4))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (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 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 7)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 10))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 4))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (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 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64))) #s(literal -5/81 binary64) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal -1/9 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(* -1 (* (cbrt x) (/ 1 (cbrt -1))))
(/.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 4)))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))))
(*.f64 (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 4))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))))
(*.f64 (-.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 7)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 10))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 4))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))))
(*.f64 (-.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64))) #s(literal -5/81 binary64) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal -1/9 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)))
(* -1 (* x (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (+ (cbrt -1) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (cbrt -1) 2))))))))
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (+ (cbrt -1) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (- 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (* x (pow (cbrt -1) 2))))) x)))))
(*.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal -1/3 binary64) x) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) x)
(* -1 (* x (+ (cbrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (+ 1 (* 1/27 (/ 1 (pow (cbrt -1) 2)))) (* -2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (- 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))) (* x (pow (cbrt -1) 2)))) (* 1/3 (/ (- 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2)))) x)) (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2))))) x)))))
(*.f64 (-.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 2/3 binary64)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 x))) x)) (neg.f64 x))
(* -1 (* (* x (pow (cbrt -1) 2)) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (neg.f64 x)) (cbrt.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1/3 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2))))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 5))))) (* 1/3 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2)))))) (pow x 3))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x)))))))
(*.f64 (fma.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 5))))) (* -5/81 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 8)))))) (pow x 3))) (* 1/3 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2)))))) (pow x 3))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x)))))))
(*.f64 (fma.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64)))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))

rewrite226.0ms (2.8%)

Memory
0.5MiB live, 440.2MiB allocated
Rules
5 866×lower-fma.f64
5 866×lower-fma.f32
3 730×lower-*.f32
3 722×lower-*.f64
3 472×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036177
062125
1217113
21455113
08406107
Stop Event
iter limit
node limit
iter limit
Counts
21 → 982
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)
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 1/6 binary64))
(exp.f64 #s(literal 1/3 binary64))
(cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
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(/.f64 (cbrt.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (cbrt.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))))) (cbrt.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))))))
(cbrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2/3 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64) (log.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))))))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))

eval225.0ms (2.7%)

Memory
20.0MiB live, 561.2MiB allocated
Compiler

Compiled 33 430 to 3 928 computations (88.3% saved)

prune92.0ms (1.1%)

Memory
24.0MiB live, 234.5MiB allocated
Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New1 414301 444
Fresh19322
Picked415
Done011
Total1 437351 472
Accuracy
99.6%
Counts
1 472 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(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)))
8.2%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))))
6.3%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
4.0%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x))
5.6%
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (cbrt.f64 x))
6.3%
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
7.6%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
6.5%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
25.9%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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)))
25.7%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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)))
26.0%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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)))
9.0%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (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 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64))) #s(literal -5/81 binary64) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal -1/9 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x)))
25.3%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (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 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x)))
52.0%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
23.7%
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x))
5.3%
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
4.1%
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
96.9%
#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)))
96.8%
#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)))
48.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
90.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
97.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
89.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
93.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))))
96.9%
#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)))
96.8%
#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)))
52.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
89.5%
#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)))
52.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
53.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
53.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
53.2%
#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)))
53.1%
#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)))
50.3%
#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)))
Compiler

Compiled 938 to 740 computations (21.1% saved)

simplify298.0ms (3.6%)

Memory
-12.0MiB live, 340.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 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
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
cost-diff0
(cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))
cost-diff0
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
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))) (pow.f64 x #s(literal 1/3 binary64)))
cost-diff64
(pow.f64 x #s(literal 1/3 binary64))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
cost-diff0
(cbrt.f64 x)
cost-diff0
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
cost-diff0
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
Rules
25 672×lower-fma.f32
25 668×lower-fma.f64
3 784×lower-*.f32
3 780×lower-*.f64
2 742×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035144
055142
173142
297140
3147140
4243140
5392140
6731140
72408140
83542140
94756140
105475140
115762140
125915140
135991140
146091140
157185140
167938140
08006140
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(cbrt.f64 x)
x
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 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)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
(cbrt.f64 x)
x
#s(literal -6 binary64)
#s(literal 1/3 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))
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 (pow.f64 (cbrt.f64 x) #s(literal -2 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))))
(*.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)))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(cbrt.f64 x)
x
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.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)
(pow.f64 x #s(literal 1/3 binary64))
(cbrt.f64 x)
#s(literal 1/3 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)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
(cbrt.f64 x)
x
#s(literal -6 binary64)
#s(literal 1/3 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)))
(-.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)

localize322.0ms (3.9%)

Memory
-12.7MiB live, 547.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.45968632814753624
(cbrt.f64 (-.f64 x #s(literal 1 binary64)))
accuracy0.4658775879159782
(cbrt.f64 x)
accuracy29.496646860580338
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy59.99992086329508
(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)))
accuracy0.4658775879159782
(cbrt.f64 x)
accuracy0.6253254999987398
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
accuracy1.0263334593831523
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
accuracy28.900324944092812
(cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.46359257814753624
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy5.024597393327132
(pow.f64 x #s(literal 1/3 binary64))
accuracy59.8409239142048
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
accuracy61.344446300171704
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
accuracy0.40234375
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
accuracy0.4658775879159782
(cbrt.f64 x)
accuracy0.5199013183790943
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
accuracy1.0263334593831523
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
Samples
145.0ms194×1valid
123.0ms54×2valid
2.0ms0valid
Compiler

Compiled 133 to 31 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-pow: 58.0ms (30.1% of total)
ival-cbrt: 27.0ms (14% of total)
ival-add: 23.0ms (11.9% of total)
adjust: 20.0ms (10.4% of total)
ival-log: 15.0ms (7.8% of total)
const: 13.0ms (6.7% of total)
ival-exp: 13.0ms (6.7% of total)
ival-mult: 13.0ms (6.7% of total)
ival-sub: 8.0ms (4.2% of total)
ival-neg: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series63.0ms (0.8%)

Memory
7.0MiB live, 90.1MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 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 #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) (patch (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -6 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 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #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 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #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 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #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 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 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))) (taylor 0 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))) (taylor 0 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))) (taylor 0 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 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 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 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)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.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 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.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 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) #<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>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow x 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (cbrt x) -6)) 1/3) (cbrt (pow (cbrt x) -6)) (pow (cbrt x) -6) (+ (* (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)))
9.0ms
x
@inf
((- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow x 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (cbrt x) -6)) 1/3) (cbrt (pow (cbrt x) -6)) (pow (cbrt x) -6) (+ (* (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)) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow x 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (cbrt x) -6)) 1/3) (cbrt (pow (cbrt x) -6)) (pow (cbrt x) -6) (+ (* (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)))

simplify255.0ms (3.1%)

Memory
-12.9MiB live, 163.9MiB allocated
Algorithm
egg-herbie
Rules
9 270×lower-fma.f64
9 270×lower-fma.f32
5 884×lower-*.f64
5 884×lower-*.f32
3 458×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04243264
111773021
235692997
083832867
Stop Event
iter limit
node limit
Counts
216 → 212
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)))
(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))
(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))
(* 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))
(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)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(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))
(* 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 (+ (/ 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 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* (cbrt (/ 1 (pow x 2))) (/ 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 (* (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 (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))))
(* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (- (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (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)))
(* 1/3 (* (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)))
(* 1/3 (* (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 (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 (* (pow x 2) (pow (cbrt -1) 6)))
(/ 1 (* (pow x 2) (pow (cbrt -1) 6)))
(/ 1 (* (pow x 2) (pow (cbrt -1) 6)))
(/ 1 (* (pow x 2) (pow (cbrt -1) 6)))
(* -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)))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 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)))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
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(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))) (*.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 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (neg.f64 (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))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (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 (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 (* (pow x 2) (pow (cbrt -1) 6)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) x) x)
(/ 1 (* (pow x 2) (pow (cbrt -1) 6)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) x) x)
(/ 1 (* (pow x 2) (pow (cbrt -1) 6)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) x) x)
(/ 1 (* (pow x 2) (pow (cbrt -1) 6)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) x) x)
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (neg.f64 x) (*.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)))))
(* -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)))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64))) #s(literal 1/3 binary64) (*.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))))))
(* -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)))))
(*.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))))))
(* -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)))))
(*.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 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (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))))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+ (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))))))
(fma.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+ (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))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+ (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))))
(-.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x) #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
(* -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))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 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)
(* -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)))))
(*.f64 (neg.f64 x) (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (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))))))
(* -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)))))
(*.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))))))

rewrite179.0ms (2.2%)

Memory
13.1MiB live, 245.8MiB allocated
Rules
8 724×lower-fma.f32
8 720×lower-fma.f64
3 364×lower-*.f32
3 362×lower-*.f64
1 692×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035120
055107
1174103
21161103
0961996
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 385
Calls
Call 1
Inputs
#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 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(cbrt.f64 x)
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
(pow.f64 x #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #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)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal -6 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
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(*.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 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #s(literal 1 binary64)) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
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eval454.0ms (5.5%)

Memory
-4.2MiB live, 352.0MiB allocated
Compiler

Compiled 34 919 to 3 919 computations (88.8% saved)

prune134.0ms (1.6%)

Memory
-11.8MiB live, 151.8MiB allocated
Pruning

43 alts after pruning (36 fresh and 7 done)

PrunedKeptTotal
New1 727121 739
Fresh42428
Picked055
Done022
Total1 731431 774
Accuracy
99.7%
Counts
1 774 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(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)))
8.2%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))))
6.3%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
4.0%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x))
5.6%
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (cbrt.f64 x))
6.3%
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
7.6%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
6.5%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
25.9%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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)))
25.7%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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)))
26.0%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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)))
52.0%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
23.7%
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x))
5.3%
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
4.1%
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
96.9%
#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)))
96.8%
#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)))
96.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 x (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
96.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
95.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
48.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
90.5%
#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)))
90.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (cbrt.f64 x))) #s(literal 1/3 binary64)))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
97.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
89.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
93.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))))
96.9%
#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)))
96.8%
#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)))
52.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
96.9%
#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))))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
89.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
52.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
53.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
53.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
53.2%
#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)))
53.1%
#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)))
50.3%
#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)))
9.0%
#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 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (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)))))))
25.3%
#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 1 058 to 838 computations (20.8% saved)

simplify50.0ms (0.6%)

Memory
2.8MiB live, 41.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
cost-diff6080
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))
cost-diff7104
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
cost-diff0
(cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
cost-diff0
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))
cost-diff0
#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)))
cost-diff6656
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
cost-diff0
(log.f64 x)
cost-diff0
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
cost-diff0
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
cost-diff0
(cbrt.f64 x)
cost-diff0
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
cost-diff0
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
cost-diff0
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))
cost-diff0
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))
cost-diff0
#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)))
Rules
292×lower-fma.f64
292×lower-fma.f32
256×lower-*.f32
242×lower-*.f64
112×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037192
055184
181172
2112172
3131172
4152172
5179172
6236172
7284172
8370172
9413172
10569172
11648172
12700172
13724172
14728172
0728166
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#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)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(cbrt.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
(cbrt.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x)))
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
#s(literal -2/3 binary64)
(log.f64 x)
x
#s(literal 1/3 binary64)
#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)))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))
(cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(*.f64 (log.f64 x) #s(literal -2 binary64))
(log.f64 x)
x
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
(cbrt.f64 x)
x
#s(literal -1 binary64)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
Outputs
#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 1/3 binary64) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(cbrt.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
(cbrt.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x))
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
(log.f64 x)
x
#s(literal 1/3 binary64)
#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 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (log.f64 x) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 x))
(log.f64 x)
x
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #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 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
(cbrt.f64 x)
x
#s(literal -1 binary64)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))
#s(literal 1/3 binary64)

localize418.0ms (5.1%)

Memory
4.8MiB live, 317.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.3203125
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
accuracy0.3984375
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))
accuracy0.4658775879159782
(cbrt.f64 x)
accuracy1.0263334593831523
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
accuracy0.40234375
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))
accuracy1.0263334593831523
#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)))
accuracy2.9894811759067736
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
accuracy28.900324944092812
(cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
accuracy0.34765625
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
accuracy0.40234375
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
accuracy1.0263334593831523
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
accuracy5.2429606523650945
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x)))
accuracy0.4658775879159782
(cbrt.f64 x)
accuracy60.57880269208054
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
accuracy0.40234375
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))
accuracy0.4658775879159782
(cbrt.f64 (neg.f64 x))
accuracy0.6759339844426087
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
accuracy1.0263334593831523
#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)))
Samples
222.0ms194×1valid
140.0ms54×2valid
2.0ms0valid
Compiler

Compiled 151 to 32 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 266.0ms
ival-cbrt: 86.0ms (32.3% of total)
ival-mult: 43.0ms (16.1% of total)
ival-pow: 27.0ms (10.1% of total)
ival-neg: 27.0ms (10.1% of total)
ival-exp: 25.0ms (9.4% of total)
const: 17.0ms (6.4% of total)
adjust: 14.0ms (5.3% of total)
ival-log: 13.0ms (4.9% of total)
ival-sub: 6.0ms (2.3% of total)
ival-div: 4.0ms (1.5% of total)
ival-add: 4.0ms (1.5% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series100.0ms (1.2%)

Memory
15.4MiB live, 53.8MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) #<representation binary64>) () ())
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2/3 binary64) (log.f64 x)) (patch (*.f64 #s(literal -2/3 binary64) (log.f64 x)) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) (patch (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 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 (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) (patch (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #<representation binary64>) () ())
Outputs
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #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))) (patch #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))) #<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 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) (patch #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))) #<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 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.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 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.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 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.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 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 x)) (cbrt -1)) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 x)) (cbrt -1)) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 x)) (cbrt -1)) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 x)) (cbrt -1)) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.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)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.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)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (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 (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.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 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.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 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.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 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (log x)) (taylor 0 x) (#s(alt (*.f64 #s(literal -2/3 binary64) (log.f64 x)) (patch (*.f64 #s(literal -2/3 binary64) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (log x)) (taylor 0 x) (#s(alt (*.f64 #s(literal -2/3 binary64) (log.f64 x)) (patch (*.f64 #s(literal -2/3 binary64) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (log x)) (taylor 0 x) (#s(alt (*.f64 #s(literal -2/3 binary64) (log.f64 x)) (patch (*.f64 #s(literal -2/3 binary64) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2/3 (log x)) (taylor 0 x) (#s(alt (*.f64 #s(literal -2/3 binary64) (log.f64 x)) (patch (*.f64 #s(literal -2/3 binary64) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (cbrt (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 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 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #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 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #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 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #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 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 x)) (taylor -inf x) (#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 (cbrt (/ 1 x)) (taylor -inf x) (#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 (cbrt (/ 1 x)) (taylor -inf x) (#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 (cbrt (/ 1 x)) (taylor -inf x) (#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 (* -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>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) (patch (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) (patch (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) (patch (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) (patch (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
64.0ms
x
@-inf
((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (exp (* -2/3 (log x))) 1/3) (* -2/3 (log x)) (log x) (exp (* (log x) -2)) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (exp (* (log x) -2))) 1/3) (cbrt (exp (* (log x) -2))) (* (pow (cbrt x) -1) (* (pow (cbrt x) -1) 1/3)) (* (pow (cbrt x) -1) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (pow (cbrt x) -1) (cbrt (neg x)) (exp (* -2/3 (log x))))
14.0ms
x
@inf
((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (exp (* -2/3 (log x))) 1/3) (* -2/3 (log x)) (log x) (exp (* (log x) -2)) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (exp (* (log x) -2))) 1/3) (cbrt (exp (* (log x) -2))) (* (pow (cbrt x) -1) (* (pow (cbrt x) -1) 1/3)) (* (pow (cbrt x) -1) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (pow (cbrt x) -1) (cbrt (neg x)) (exp (* -2/3 (log x))))
14.0ms
x
@0
((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (exp (* -2/3 (log x))) 1/3) (* -2/3 (log x)) (log x) (exp (* (log x) -2)) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (exp (* (log x) -2))) 1/3) (cbrt (exp (* (log x) -2))) (* (pow (cbrt x) -1) (* (pow (cbrt x) -1) 1/3)) (* (pow (cbrt x) -1) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (pow (cbrt x) -1) (cbrt (neg x)) (exp (* -2/3 (log x))))

simplify162.0ms (2%)

Memory
2.0MiB live, 164.5MiB allocated
Algorithm
egg-herbie
Rules
9 642×lower-fma.f64
9 642×lower-fma.f32
4 156×lower-*.f64
4 156×lower-*.f32
1 920×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01572449
13782323
29302318
321652299
450192297
082542192
Stop Event
iter limit
node limit
Counts
240 → 240
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)))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(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))
(* 1/3 (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))))
(* -2/3 (log x))
(* -2/3 (log x))
(* -2/3 (log x))
(* -2/3 (log x))
(log x)
(log x)
(log x)
(log x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (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)))
(* 1/3 (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 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(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))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(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))
(* 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))))
(* 2/3 (log (/ 1 x)))
(* 2/3 (log (/ 1 x)))
(* 2/3 (log (/ 1 x)))
(* 2/3 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(/ 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))
(* 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)))
(* 1/3 (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 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 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))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(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)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))))
(* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (- (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (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)))
(* 1/3 (* (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))))
(* -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)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(/ 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))
(* 1/3 (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)))
(* 1/3 (* (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 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 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))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
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)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 #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)))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 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)))
(* 1/3 (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))
(* -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))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 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)))
(* 1/3 (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)))
(* 1/3 (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 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) 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 #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)))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(* 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 (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))
(/ (+ (* -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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.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)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (cbrt (/ 1 x)) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))
#s(literal 0 binary64)
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* x (+ (* -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) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x)
(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 #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 (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))
(/ (+ (* -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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.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))
(* 2/3 (log (/ 1 x)))
(*.f64 (log.f64 x) #s(literal -2/3 binary64))
(* 2/3 (log (/ 1 x)))
(*.f64 (log.f64 x) #s(literal -2/3 binary64))
(* 2/3 (log (/ 1 x)))
(*.f64 (log.f64 x) #s(literal -2/3 binary64))
(* 2/3 (log (/ 1 x)))
(*.f64 (log.f64 x) #s(literal -2/3 binary64))
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 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))
(* 1/3 (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 (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))
(/ (+ (* -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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
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(* 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)))
(* 1/3 (* (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))))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 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 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (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 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(* -1 (cbrt x))
(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))
(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)))

rewrite292.0ms (3.5%)

Memory
-7.4MiB live, 276.0MiB allocated
Rules
6 496×lower-fma.f64
6 496×lower-fma.f32
3 826×lower-*.f32
3 816×lower-*.f64
2 204×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037166
055165
1154160
2786127
35926127
08182114
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 122
Calls
Call 1
Inputs
#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)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
(cbrt.f64 x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
(*.f64 #s(literal -2/3 binary64) (log.f64 x))
(log.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
#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)))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))
(cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
(cbrt.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/12 binary64))) (pow.f64 x #s(literal -1/12 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (neg.f64 x) #s(literal -1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/12 binary64)) (*.f64 (pow.f64 x #s(literal -1/12 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))
(*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (neg.f64 (cbrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 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 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) #s(literal -1 binary64)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) #s(literal 1/3 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (cbrt.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))))
(neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/12 binary64))) (pow.f64 x #s(literal -1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal -1 binary64)))
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eval292.0ms (3.6%)

Memory
11.4MiB live, 316.5MiB allocated
Compiler

Compiled 24 961 to 4 360 computations (82.5% saved)

prune113.0ms (1.4%)

Memory
-6.1MiB live, 270.8MiB allocated
Pruning

51 alts after pruning (41 fresh and 10 done)

PrunedKeptTotal
New1 770151 785
Fresh52631
Picked145
Done167
Total1 777511 828
Accuracy
99.8%
Counts
1 828 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(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)))
8.2%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))))
6.3%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
4.0%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x))
5.6%
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (cbrt.f64 x))
6.3%
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
7.6%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
6.5%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
25.9%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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)))
25.7%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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)))
26.0%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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)))
52.0%
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
5.3%
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow.f64 x #s(literal 1/3 binary64)))
23.7%
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x))
5.3%
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
4.1%
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
96.9%
#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)))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
96.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 x (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
96.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
96.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
95.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
74.0%
#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)))
48.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
90.5%
#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)))
91.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (neg.f64 (log.f64 x))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
90.4%
#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)))
90.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (cbrt.f64 x))) #s(literal 1/3 binary64)))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64))))
97.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))))
97.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
89.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
37.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
96.9%
#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)))
96.8%
#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)))
52.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))))
96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64)))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
90.3%
#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)))
89.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
53.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
53.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
53.2%
#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)))
53.1%
#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)))
50.3%
#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)))
96.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
9.0%
#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 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (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)))))))
Compiler

Compiled 1 774 to 898 computations (49.4% saved)

regimes53.0ms (0.6%)

Memory
0.4MiB live, 154.6MiB allocated
Counts
85 → 1
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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 x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 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 (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) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #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 (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)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (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 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 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)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 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 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (cbrt.f64 x))
#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 (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))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
#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 #s(literal -2 binary64) (log.f64 x))) #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 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 x (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64))) #s(literal -2 binary64)) #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 (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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)))
(-.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))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (cbrt.f64 x))) #s(literal 1/3 binary64)))
(-.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 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))))) (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)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x))
(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x))
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 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))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (neg.f64 (log.f64 x))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(-.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))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(-.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 x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))
#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 x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (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 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 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 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (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)))))))
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (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 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64))) #s(literal -5/81 binary64) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal -1/9 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
Calls

2 calls:

40.0ms
x
6.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
97.0%1x
97.0%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes18.0ms (0.2%)

Memory
12.1MiB live, 50.9MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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 x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 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 (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) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
Calls

2 calls:

14.0ms
x
2.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
89.2%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
92.7%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes14.0ms (0.2%)

Memory
-0.1MiB live, 38.7MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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 x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 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 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
Outputs
#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 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
92.5%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes13.0ms (0.2%)

Memory
-3.5MiB live, 35.2MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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 x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 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 x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
92.5%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
89.2%1x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes23.0ms (0.3%)

Memory
-41.3MiB live, 16.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
Outputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
Calls

2 calls:

4.0ms
x
2.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
5.3%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
5.3%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
Outputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
4.1%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
4.1%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch25.0ms (0.3%)

Memory
9.5MiB live, 43.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
4.329857400264294e+153
2.1839388077033642e+157
Samples
18.0ms128×1valid
Compiler

Compiled 146 to 146 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 7.0ms (50.2% of total)
ival-cbrt: 3.0ms (21.5% of total)
adjust: 2.0ms (14.3% of total)
ival-sub: 1.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
1.3MiB live, 40.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
4.329857400264294e+153
2.1839388077033642e+157
Samples
9.0ms96×1valid
Compiler

Compiled 146 to 138 computations (5.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
adjust: 2.0ms (31.8% of total)
ival-cbrt: 2.0ms (31.8% of total)
ival-add: 1.0ms (15.9% of total)
ival-sub: 1.0ms (15.9% 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
5.2MiB live, 5.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
4.329857400264294e+153
2.1839388077033642e+157
Compiler

Compiled 130 to 138 computations (-6.2% saved)

simplify25.0ms (0.3%)

Memory
-10.9MiB live, 76.1MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
/-rgt-identity-binary64-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057170
165170
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))))
(if (<=.f64 x #s(literal 160000000000000005911607310089316246556946877277483015230764456834408698549555513555464209755286533239144188058995722677029392053593174466736739079172390912 binary64)) #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 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 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))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))))
(if (<=.f64 x #s(literal 160000000000000005911607310089316246556946877277483015230764456834408698549555513555464209755286533239144188058995722677029392053593174466736739079172390912 binary64)) #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 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))

soundness1.0s (12.2%)

Memory
14.3MiB live, 653.0MiB allocated
Rules
9 152×lower-fma.f64
9 152×lower-fma.f32
6 666×lower-*.f64
6 666×lower-*.f32
6 306×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146602
1350564
2902564
32613561
45974561
08120528
0616
01016
14316
228216
3310116
0909216
04313364
111893182
242923158
082113014
036177
062125
1217113
21455113
08406107
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 248 to 181 computations (27% saved)

preprocess57.0ms (0.7%)

Memory
-20.3MiB live, 172.8MiB allocated
Compiler

Compiled 218 to 108 computations (50.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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