2cbrt (problem 3.3.4)

Time bar (total: 10.8s)

analyze3.0ms (0%)

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

Compiled 15 to 10 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 0.0ms (0% of total)
ival-cbrt: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
...c/correct-round.rkt:119:19: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)

sample1.9s (18%)

Results
809.0ms3308×2valid
760.0ms4770×1valid
19.0ms178×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-cbrt: 299.0ms (28.5% of total)
backward-pass: 184.0ms (17.5% of total)
ival-add: 151.0ms (14.4% of total)
...c/correct-round.rkt:119:19: 145.0ms (13.8% of total)
ival-sub: 106.0ms (10.1% of total)
ival->: 80.0ms (7.6% of total)
ival-and: 40.0ms (3.8% of total)
ival-<: 28.0ms (2.7% of total)
const: 17.0ms (1.6% of total)
Bogosity

preprocess43.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
270×sum3-define
244×fnmadd-define
184×fmsub-define
168×fnmsub-define
168×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12524
25223
39923
419023
538723
657923
775523
884923
995523
10103323
11103923
067
1117
2157
3227
4327
5647
61227
72107
82957
94017
104797
114857
04857
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (cbrt (+ x 1)) (cbrt x))
Outputs
(- (cbrt (+ x 1)) (cbrt x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Call 2
Inputs
(- (cbrt (+ x 1)) (cbrt x))
(- (cbrt (+ (neg x) 1)) (cbrt (neg x)))
(neg (- (cbrt (+ (neg x) 1)) (cbrt (neg x))))
Outputs
(- (cbrt (+ x 1)) (cbrt x))
(- (cbrt (+ (neg x) 1)) (cbrt (neg x)))
(- (cbrt (- 1 x)) (cbrt (neg x)))
(neg (- (cbrt (+ (neg x) 1)) (cbrt (neg x))))
(- (cbrt (neg x)) (cbrt (- 1 x)))

explain154.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
00-0-x
00-0-(cbrt.f64 x)
00-0-#s(literal 1 binary64)
00-0-(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
Results
61.0ms206×2valid
61.0ms300×1valid
0.0ms6×0valid
Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-cbrt: 19.0ms (37.1% of total)
backward-pass: 15.0ms (29.3% of total)
ival-add: 9.0ms (17.6% of total)
ival-sub: 6.0ms (11.7% of total)
const: 1.0ms (2% of total)

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cbrt.f64 x)
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Rules
124×fnmadd-define
122×sum3-define
80×fma-lowering-fma.f32
80×fnmsub-define
80×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11118
21518
32218
43218
56418
612218
721018
829518
940118
1047918
1148518
048518
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (cbrt (+ x 1)) (cbrt x))
(cbrt (+ x 1))
(+ x 1)
x
1
(cbrt x)
Outputs
(- (cbrt (+ x 1)) (cbrt x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt (+ x 1))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(cbrt x)
(cbrt.f64 x)

localize68.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy99.2%
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy7.0%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
30.0ms103×2valid
27.0ms150×1valid
0.0ms3×0valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-cbrt: 9.0ms (34.7% of total)
backward-pass: 7.0ms (27% of total)
ival-add: 6.0ms (23.2% of total)
ival-sub: 3.0ms (11.6% of total)
const: 1.0ms (3.9% of total)

series14.0ms (0.1%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (- (cbrt (+ x 1)) (cbrt x))>
#<alt (cbrt (+ x 1))>
#<alt (+ x 1)>
#<alt (cbrt x)>
Outputs
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(- (cbrt (+ x 1)) (cbrt x))
4.0ms
x
@-inf
(- (cbrt (+ x 1)) (cbrt x))
1.0ms
x
@0
(cbrt x)
1.0ms
x
@-inf
(cbrt x)
1.0ms
x
@inf
(cbrt x)

rewrite232.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
2230×*-lowering-*.f32
2230×*-lowering-*.f64
1490×fmsub-define
1482×fmm-def
1266×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
13916
229116
3338716
0899116
Stop Event
1×iter limit
1×node limit
Counts
4 → 273
Calls
Call 1
Inputs
(- (cbrt (+ x 1)) (cbrt x))
(cbrt (+ x 1))
(+ x 1)
(cbrt x)
Outputs
(+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(+.f64 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (+.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
(-.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (cbrt.f64 x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
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(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.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 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(cbrt.f64 x)
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64)))

simplify178.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
3426×*-lowering-*.f32
3426×*-lowering-*.f64
1786×/-lowering-/.f32
1786×/-lowering-/.f64
1556×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0146551
1378495
21081488
33258483
08146483
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
Outputs
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(+.f64 (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/9 binary64)))))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(+.f64 (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x 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 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64)))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/9 binary64)))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))))
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(*.f64 x (+.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(*.f64 x (+.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 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 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.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 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))

eval43.0ms (0.4%)

Compiler

Compiled 6763 to 1051 computations (84.5% saved)

prune57.0ms (0.5%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New29922321
Fresh000
Picked011
Done000
Total29923322
Accuracy
53.0%
Counts
322 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
7.5%
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
7.8%
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
7.0%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))
4.8%
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))) x)) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
24.4%
(/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x))
24.3%
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
8.2%
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
6.0%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
4.3%
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
▶7.1%
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))))
3.2%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (cbrt.f64 x))
4.8%
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
6.6%
(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 x))
▶6.8%
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
▶7.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
7.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
7.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
7.3%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
✓6.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
6.1%
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
▶1.8%
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
▶51.0%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 960 to 534 computations (44.4% saved)

simplify156.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))
✓cost-diff64
(pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))
✓cost-diff20352
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))))
✓cost-diff0
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
✓cost-diff0
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
✓cost-diff12864
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 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 (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
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓cost-diff0
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
Rules
2000×sum5-define
1772×fma-lowering-fma.f32
1772×fma-lowering-fma.f64
1472×fmm-def
1414×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03030064771164
16030064771160
211130064771156
321430064771156
435430064771156
575330064771156
6206230064771156
7397130064771156
8786030064771156
08249171
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/3 (cbrt (/ 1 (* x x))))
1/3
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
1
(* x x)
x
(- 1 (cbrt x))
1
(cbrt x)
x
(- (cbrt (+ x 1)) (pow (pow x 1/6) 2))
(cbrt (+ x 1))
(+ x 1)
x
1
(pow (pow x 1/6) 2)
(pow x 1/6)
1/6
2
(- (cbrt (pow (cbrt (+ x 1)) 3)) (cbrt x))
(cbrt (pow (cbrt (+ x 1)) 3))
(pow (cbrt (+ x 1)) 3)
(cbrt (+ x 1))
(+ x 1)
x
1
3
(cbrt x)
(- (/ (+ x 1) (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3)))) (/ x (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3)))))
(/ (+ x 1) (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3))))
(+ x 1)
x
1
(+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3)))
(pow (+ x 1) 2/3)
2/3
(+ (pow x 2/3) (pow (* x (+ x 1)) 1/3))
(pow x 2/3)
(pow (* x (+ x 1)) 1/3)
(* x (+ x 1))
1/3
(/ x (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3))))
Outputs
(* 1/3 (cbrt (/ 1 (* x x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
1/3
#s(literal 1/3 binary64)
(cbrt (/ 1 (* x x)))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/ 1 (* x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
1
#s(literal 1 binary64)
(cbrt x)
(cbrt.f64 x)
x
(- (cbrt (+ x 1)) (pow (pow x 1/6) 2))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(cbrt (+ x 1))
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
(pow (pow x 1/6) 2)
(cbrt.f64 x)
(pow x 1/6)
(pow.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
2
#s(literal 2 binary64)
(- (cbrt (pow (cbrt (+ x 1)) 3)) (cbrt x))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(cbrt (pow (cbrt (+ x 1)) 3))
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(pow (cbrt (+ x 1)) 3)
(+.f64 #s(literal 1 binary64) x)
(cbrt (+ x 1))
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)
(cbrt x)
(cbrt.f64 x)
(- (/ (+ x 1) (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3)))) (/ x (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3)))))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/ (+ x 1) (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
(+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(pow (+ x 1) 2/3)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
(+ (pow x 2/3) (pow (* x (+ x 1)) 1/3))
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(pow x 2/3)
(pow.f64 x #s(literal 2/3 binary64))
(pow (* x (+ x 1)) 1/3)
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(* x (+ x 1))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
1/3
#s(literal 1/3 binary64)
(/ x (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3))))
(/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))

localize482.0ms (4.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy90.6%
(pow.f64 x #s(literal 2/3 binary64))
✓accuracy90.6%
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
✓accuracy49.3%
(pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))
✓accuracy7.2%
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))))
✓accuracy99.2%
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy98.9%
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
✓accuracy7.0%
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
✓accuracy99.2%
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓accuracy99.2%
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
✓accuracy93.5%
(pow.f64 x #s(literal 1/6 binary64))
✓accuracy7.0%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy99.3%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓accuracy53.1%
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
Results
231.0ms103×2valid
190.0ms150×1valid
3.0ms1×5exit
1.0ms2×0valid
Compiler

Compiled 235 to 31 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 257.0ms
ival-pow: 114.0ms (44.4% of total)
...c/correct-round.rkt:119:19: 39.0ms (15.2% of total)
backward-pass: 34.0ms (13.2% of total)
ival-cbrt: 20.0ms (7.8% of total)
ival-mult: 14.0ms (5.5% of total)
ival-div: 13.0ms (5.1% of total)
ival-sub: 12.0ms (4.7% of total)
ival-add: 9.0ms (3.5% of total)
const: 2.0ms (0.8% of total)

series101.0ms (0.9%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (* 1/3 (cbrt (/ 1 (* x x))))>
#<alt (cbrt (/ 1 (* x x)))>
#<alt (/ 1 (* x x))>
#<alt (* x x)>
#<alt (- 1 (cbrt x))>
#<alt (cbrt x)>
#<alt (pow (pow x 1/6) 2)>
#<alt (- (cbrt (+ x 1)) (pow (pow x 1/6) 2))>
#<alt (cbrt (+ x 1))>
#<alt (+ x 1)>
#<alt (pow (cbrt (+ x 1)) 3)>
#<alt (- (cbrt (pow (cbrt (+ x 1)) 3)) (cbrt x))>
#<alt (cbrt (pow (cbrt (+ x 1)) 3))>
#<alt (- (/ (+ x 1) (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3)))) (/ x (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3)))))>
#<alt (pow (* x (+ x 1)) 1/3)>
#<alt (/ (+ x 1) (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3))))>
#<alt (pow x 1/6)>
#<alt (pow (+ x 1) 2/3)>
#<alt (pow x 2/3)>
Outputs
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (- 1 (cbrt x))>
#<alt (- 1 (cbrt x))>
#<alt (- 1 (cbrt x))>
#<alt (- 1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))>
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))>
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))>
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))>
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))>
#<alt (+ (* -2/3 (/ x (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))>
#<alt (+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))>
#<alt (+ (* x (- (* x (+ (* -1 (* x (+ (* 4/81 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (+ (* 2/27 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))) (* 2/3 (/ (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))))) (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (pow x 6))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (pow x 9))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) x)>
#<alt (/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))>
#<alt (* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))>
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#<alt (cbrt (+ x (pow x 2)))>
#<alt (cbrt (+ x (pow x 2)))>
#<alt (cbrt (+ x (pow x 2)))>
#<alt (cbrt (+ x (pow x 2)))>
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))>
#<alt (+ (* x (- (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))>
#<alt (+ (* x (- (+ (* x (- (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 2/3 (/ (- (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))>
#<alt (+ (* x (- (+ (* x (- (+ (* -1 (* x (+ (* -1/9 (/ (- (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))) (+ (* 4/81 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 2/3 (/ (- (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 2/3 (/ (- (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))))) (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2)))) (* 2/3 (/ (- (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))>
#<alt (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))>
#<alt (+ (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))))>
#<alt (- (+ (* -1/3 (* (/ 1 (* (pow x 4) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))>
#<alt (/ -1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))>
#<alt (* -1 (+ (/ 1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))))>
#<alt (- (* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 2) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x)) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))>
#<alt (- (* -1 (/ (- (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (* -1/3 (* (/ 1 (* (pow x 2) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt 1>
#<alt (+ 1 (* 2/3 x))>
#<alt (+ 1 (* x (+ 2/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))>
#<alt (* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
Calls

57 calls:

TimeVariablePointExpression
31.0ms
x
@0
(pow x 1/6)
24.0ms
x
@-inf
(pow x 1/6)
6.0ms
x
@inf
(pow x 1/6)
5.0ms
x
@inf
(- (/ (+ x 1) (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3)))) (/ x (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3)))))
5.0ms
x
@inf
(* 1/3 (cbrt (/ 1 (* x x))))

rewrite515.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
4616×*-lowering-*.f32
4616×*-lowering-*.f64
2530×/-lowering-/.f32
2530×/-lowering-/.f64
1952×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030103
119991
2174191
01039790
Stop Event
1×iter limit
1×node limit
Counts
19 → 1112
Calls
Call 1
Inputs
(* 1/3 (cbrt (/ 1 (* x x))))
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
(* x x)
(- 1 (cbrt x))
(cbrt x)
(pow (pow x 1/6) 2)
(- (cbrt (+ x 1)) (pow (pow x 1/6) 2))
(cbrt (+ x 1))
(+ x 1)
(pow (cbrt (+ x 1)) 3)
(- (cbrt (pow (cbrt (+ x 1)) 3)) (cbrt x))
(cbrt (pow (cbrt (+ x 1)) 3))
(- (/ (+ x 1) (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3)))) (/ x (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3)))))
(pow (* x (+ x 1)) 1/3)
(/ (+ x 1) (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (pow (* x (+ x 1)) 1/3))))
(pow x 1/6)
(pow (+ x 1) 2/3)
(pow x 2/3)
Outputs
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
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(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/9 binary64)))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64)))
(pow.f64 x #s(literal 2/3 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 8 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 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 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))))

simplify281.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
4540×*-lowering-*.f32
4540×*-lowering-*.f64
1876×+-lowering-+.f64
1876×+-lowering-+.f32
1840×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04524799
113714090
251364061
081474061
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- 1 (cbrt x))
(- 1 (cbrt x))
(- 1 (cbrt x))
(- 1 (cbrt x))
(* -1 (cbrt x))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(* (cbrt x) (cbrt -1))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
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(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))
(+ (* -2/3 (/ x (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 4/81 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (+ (* 2/27 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))) (* 2/3 (/ (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))))) (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (pow x 6))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (pow x 9))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) x)
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/9 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* (pow x 3) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))))) (pow x 3))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))
(+ (* x (- (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(+ (* x (- (+ (* x (- (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 2/3 (/ (- (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(+ (* x (- (+ (* x (- (+ (* -1 (* x (+ (* -1/9 (/ (- (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))) (+ (* 4/81 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 2/3 (/ (- (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 2/3 (/ (- (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))))) (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2)))) (* 2/3 (/ (- (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))
(+ (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))))
(- (+ (* -1/3 (* (/ 1 (* (pow x 4) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))
(/ -1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (+ (/ 1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))))
(- (* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 2) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x)) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(- (* -1 (/ (- (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (* -1/3 (* (/ 1 (* (pow x 2) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
1
(+ 1 (* 2/3 x))
(+ 1 (* x (+ 2/3 (* -1/9 x))))
(+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
Outputs
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(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 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(* -1 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
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(cbrt.f64 x)
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#s(literal 1 binary64)
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(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
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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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(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2/3 binary64)))
(+ 1 (* x (+ 2/3 (* -1/9 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal 2/3 binary64))))
(+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 4/81 binary64)))))))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(*.f64 x (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(* 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)))))))
(*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))))
(* 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))))))))
(*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 5 binary64)))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
(* 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)))))))))
(*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 5 binary64)))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 8 binary64)))) (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 9 binary64))))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(*.f64 (+.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(*.f64 (-.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 8 binary64)))) (/.f64 #s(literal -5/81 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(*.f64 (cbrt.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(*.f64 (cbrt.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(*.f64 (cbrt.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(*.f64 (cbrt.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))

eval584.0ms (5.4%)

Compiler

Compiled 94966 to 3932 computations (95.9% saved)

prune198.0ms (1.8%)

Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New1889231912
Fresh13417
Picked325
Done011
Total1905301935
Accuracy
99.6%
Counts
1935 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
8.2%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
49.9%
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)
24.4%
(/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x))
24.3%
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
49.8%
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
88.9%
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
▶6.7%
(-.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)))
5.8%
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (cbrt.f64 x))
3.2%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (cbrt.f64 x))
▶7.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓6.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓1.8%
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
▶88.9%
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
47.5%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))))
47.7%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))
96.6%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
96.6%
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
96.6%
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))))
88.9%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
51.1%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
96.4%
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
89.1%
(*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))))
51.1%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
51.1%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
▶51.1%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
51.0%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/2 binary64))))))
✓51.0%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
51.1%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
48.3%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))))
Compiler

Compiled 1022 to 615 computations (39.8% saved)

simplify31.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) x)
✓cost-diff0
(-.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)))
✓cost-diff64
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 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
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
✓cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(pow.f64 x #s(literal -2/3 binary64))
✓cost-diff0
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
Rules
240×fma-define
210×sum3-define
202×fma-lowering-fma.f32
202×fma-lowering-fma.f64
180×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0338589934759
1648589934753
2988589934753
31548589934753
42568589934753
53508589934753
64648589934753
75608589934753
86408589934753
98448589934753
109548589934753
119688589934753
0968171
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (/ 1 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x)))))
(/ 1 x)
1
x
(+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))
(cbrt (+ (/ 1 x) (/ 2 (* x x))))
(+ (/ 1 x) (/ 2 (* x x)))
(/ 2 (* x x))
2
(* x x)
(+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x)))
(cbrt (+ (/ 1 (* x x)) (/ 1 x)))
(+ (/ 1 (* x x)) (/ 1 x))
(/ 1 (* x x))
(cbrt (/ 1 x))
(* (pow x -2/3) 1/3)
(pow x -2/3)
x
-2/3
1/3
(* 1/3 (cbrt (/ 1 (/ x (/ 1 x)))))
1/3
(cbrt (/ 1 (/ x (/ 1 x))))
(/ 1 (/ x (/ 1 x)))
1
(/ x (/ 1 x))
x
(/ 1 x)
(- (cbrt (+ x 1)) (pow x 1/3))
(cbrt (+ x 1))
(+ x 1)
x
1
(pow x 1/3)
1/3
(- (pow (+ 1 x) 1/3) (pow (pow x 1/6) 2))
(pow (+ 1 x) 1/3)
(+ 1 x)
1
x
1/3
(pow (pow x 1/6) 2)
(pow x 1/6)
1/6
2
Outputs
(/ (/ 1 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))
(+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt (+ (/ 1 x) (/ 2 (* x x))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ (/ 1 x) (/ 2 (* x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ 2 (* x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
(+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 (* x x)) (/ 1 x)))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ (/ 1 (* x x)) (/ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ 1 (* x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (pow x -2/3) 1/3)
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(pow x -2/3)
(pow.f64 x #s(literal -2/3 binary64))
x
-2/3
#s(literal -2/3 binary64)
1/3
#s(literal 1/3 binary64)
(* 1/3 (cbrt (/ 1 (/ x (/ 1 x)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
1/3
#s(literal 1/3 binary64)
(cbrt (/ 1 (/ x (/ 1 x))))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/ 1 (/ x (/ 1 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
1
#s(literal 1 binary64)
(/ x (/ 1 x))
(*.f64 x x)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(- (cbrt (+ x 1)) (pow x 1/3))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(cbrt (+ x 1))
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
(pow x 1/3)
(cbrt.f64 x)
1/3
#s(literal 1/3 binary64)
(- (pow (+ 1 x) 1/3) (pow (pow x 1/6) 2))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(pow (+ 1 x) 1/3)
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
1/3
#s(literal 1/3 binary64)
(pow (pow x 1/6) 2)
(cbrt.f64 x)
(pow x 1/6)
(pow.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
2
#s(literal 2 binary64)

localize493.0ms (4.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
✓accuracy93.5%
(pow.f64 x #s(literal 1/6 binary64))
✓accuracy92.0%
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
✓accuracy7.0%
(-.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)))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy99.2%
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓accuracy92.0%
(pow.f64 x #s(literal 1/3 binary64))
✓accuracy7.0%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓accuracy99.8%
(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓accuracy99.3%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
✓accuracy53.1%
(cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
✓accuracy99.3%
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
✓accuracy90.6%
(pow.f64 x #s(literal -2/3 binary64))
✓accuracy99.5%
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓accuracy99.0%
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓accuracy99.0%
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy99.0%
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
Results
219.0ms103×2valid
196.0ms150×1valid
2.0ms3×0valid
Compiler

Compiled 234 to 34 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 257.0ms
ival-pow: 99.0ms (38.6% of total)
ival-div: 35.0ms (13.6% of total)
backward-pass: 35.0ms (13.6% of total)
...c/correct-round.rkt:119:19: 31.0ms (12.1% of total)
ival-cbrt: 20.0ms (7.8% of total)
ival-add: 18.0ms (7% of total)
ival-mult: 11.0ms (4.3% of total)
ival-sub: 6.0ms (2.3% of total)
const: 1.0ms (0.4% of total)

series25.0ms (0.2%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (+ (/ 1 x) (/ 2 (* x x)))>
#<alt (+ (/ 1 (* x x)) (/ 1 x))>
#<alt (/ (/ 1 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x)))))>
#<alt (/ 1 x)>
#<alt (* (pow x -2/3) 1/3)>
#<alt (pow x -2/3)>
#<alt (/ x (/ 1 x))>
#<alt (* 1/3 (cbrt (/ 1 (/ x (/ 1 x)))))>
#<alt (cbrt (/ 1 (/ x (/ 1 x))))>
#<alt (/ 1 (/ x (/ 1 x)))>
#<alt (pow x 1/3)>
#<alt (- (cbrt (+ x 1)) (pow x 1/3))>
#<alt (cbrt (+ x 1))>
#<alt (+ x 1)>
#<alt (pow (pow x 1/6) 2)>
#<alt (pow (+ 1 x) 1/3)>
#<alt (- (pow (+ 1 x) 1/3) (pow (pow x 1/6) 2))>
#<alt (+ 1 x)>
#<alt (cbrt (+ (/ 1 (* x x)) (/ 1 x)))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (+ (/ 1 x) (/ 2 (* x x))))>
#<alt (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))>
#<alt (pow x 1/6)>
Outputs
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 x) (pow x 2))>
#<alt (/ (+ 2 x) (pow x 2))>
#<alt (/ (+ 2 x) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 1 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 1 (* 2 (/ 1 x))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 1 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 1 (* 2 (/ 1 x))) x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 x) (pow x 2))>
#<alt (/ (+ 1 x) (pow x 2))>
#<alt (/ (+ 1 x) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))>
#<alt (/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))>
#<alt (/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))>
#<alt (/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* (/ 1 x) (cbrt (+ x (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ x (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ x (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ x (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)>
#<alt (/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)>
#<alt (/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)>
#<alt (/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (pow (* 1 x) 1/6)>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))>
Calls

69 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/ (/ 1 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x)))))
4.0ms
x
@0
(/ (/ 1 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x)))))
4.0ms
x
@0
(pow x -2/3)
3.0ms
x
@inf
(/ (/ 1 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x)))))
1.0ms
x
@inf
(pow x -2/3)

rewrite281.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
2056×*-lowering-*.f32
2056×*-lowering-*.f64
1918×fma-lowering-fma.f32
1918×fma-lowering-fma.f64
1532×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033144
1239132
22156132
08404130
Stop Event
1×iter limit
1×node limit
Counts
23 → 875
Calls
Call 1
Inputs
(+ (/ 1 x) (/ 2 (* x x)))
(+ (/ 1 (* x x)) (/ 1 x))
(/ (/ 1 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x)))))
(/ 1 x)
(* (pow x -2/3) 1/3)
(pow x -2/3)
(/ x (/ 1 x))
(* 1/3 (cbrt (/ 1 (/ x (/ 1 x)))))
(cbrt (/ 1 (/ x (/ 1 x))))
(/ 1 (/ x (/ 1 x)))
(pow x 1/3)
(- (cbrt (+ x 1)) (pow x 1/3))
(cbrt (+ x 1))
(+ x 1)
(pow (pow x 1/6) 2)
(pow (+ 1 x) 1/3)
(- (pow (+ 1 x) 1/3) (pow (pow x 1/6) 2))
(+ 1 x)
(cbrt (+ (/ 1 (* x x)) (/ 1 x)))
(cbrt (/ 1 x))
(cbrt (+ (/ 1 x) (/ 2 (* x x))))
(+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))
(pow x 1/6)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2/3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64))) x) (*.f64 x (/.f64 (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) x))) (*.f64 x x))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)))
(/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) x))) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 x (*.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) x) x) (*.f64 x x))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 x #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(/.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64))) x) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
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(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/6 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/12 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/12 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 x))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/12 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/12 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1/12 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/12 binary64)))

simplify235.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
3268×*-lowering-*.f32
3268×*-lowering-*.f64
1778×+-lowering-+.f64
1778×+-lowering-+.f32
1590×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01912557
14832231
215262213
343542195
082082195
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(/ 2 (pow x 2))
(/ (+ 2 x) (pow x 2))
(/ (+ 2 x) (pow x 2))
(/ (+ 2 x) (pow x 2))
(/ 1 x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ 1 x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/ 1 (pow x 2))
(/ (+ 1 x) (pow x 2))
(/ (+ 1 x) (pow x 2))
(/ (+ 1 x) (pow x 2))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (/ 1 x)) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (/ 1 x)) x)
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
Outputs
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 x) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/ (+ 2 x) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/ (+ 2 x) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (+ 1 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 x) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 x) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 x) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))))
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
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(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))) x)
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))

eval205.0ms (1.9%)

Compiler

Compiled 32471 to 3692 computations (88.6% saved)

prune170.0ms (1.6%)

Pruning

49 alts after pruning (43 fresh and 6 done)

PrunedKeptTotal
New1328311359
Fresh101222
Picked235
Done033
Total1340491389
Accuracy
99.9%
Counts
1389 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
97.1%
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
52.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))) x))
52.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
34.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64)))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
57.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
97.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
93.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
98.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
59.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 x x))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
97.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
98.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
98.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
98.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
▶98.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
96.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
98.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))))))
▶9.3%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))))
24.4%
(/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64))) (*.f64 x x))
24.3%
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
▶49.8%
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
97.9%
(/.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
52.2%
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))))
▶88.9%
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
7.0%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
3.2%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (pow.f64 x #s(literal 1/3 binary64)))
3.2%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (cbrt.f64 x))
✓7.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓6.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓1.8%
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
88.9%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
47.7%
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
89.9%
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
▶96.6%
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
✓88.9%
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
47.5%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))))
88.9%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
89.1%
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
51.1%
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
96.6%
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
96.6%
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))))
51.1%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
96.4%
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
51.1%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
✓51.1%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
48.9%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))))))
51.0%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/2 binary64))))))
✓51.0%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
51.1%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 1986 to 1163 computations (41.4% saved)

simplify170.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))))
✓cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
✓cost-diff6720
(-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
✓cost-diff0
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
✓cost-diff128
(-.f64 x x)
✓cost-diff128
(+.f64 #s(literal 1 binary64) (-.f64 x x))
✓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
(pow.f64 x #s(literal 2/3 binary64))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
✓cost-diff0
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓cost-diff0
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
Rules
1740×--lowering--.f32
1740×--lowering--.f64
1672×fmsub-define
1558×fma-lowering-fma.f32
1558×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04142949673134
19242949673127
218342949673124
351442949673124
4121142949673124
5263542949673124
6486742949673124
08203264
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ 1 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (/ 1 (cbrt x)))))
(/ 1 x)
1
x
(+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (/ 1 (cbrt x))))
(cbrt (+ (/ 1 x) (/ 2 (* x x))))
(+ (/ 1 x) (/ 2 (* x x)))
(/ 2 (* x x))
2
(* x x)
(+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (/ 1 (cbrt x)))
(cbrt (+ (/ 1 (* x x)) (/ 1 x)))
(+ (/ 1 (* x x)) (/ 1 x))
(/ 1 (* x x))
(/ 1 (cbrt x))
(cbrt x)
(/ 1/3 (pow x 2/3))
1/3
(pow x 2/3)
x
2/3
(* (pow (cbrt x) -2) 1/3)
(pow (cbrt x) -2)
(cbrt x)
x
-2
1/3
(/ (+ 1 (- x x)) (+ (pow (+ 1 x) 2/3) (+ (pow x 2/3) (cbrt (* x (+ 1 x))))))
(+ 1 (- x x))
1
(- x x)
x
(+ (pow (+ 1 x) 2/3) (+ (pow x 2/3) (cbrt (* x (+ 1 x)))))
(pow (+ 1 x) 2/3)
(+ 1 x)
2/3
(+ (pow x 2/3) (cbrt (* x (+ 1 x))))
(pow x 2/3)
(cbrt (* x (+ 1 x)))
(* x (+ 1 x))
(/ (- (+ 1 x) x) (+ (pow (+ 1 x) 2/3) (- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))))
(- (+ 1 x) x)
(+ 1 x)
1
x
(+ (pow (+ 1 x) 2/3) (- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x)))))
(pow (+ 1 x) 2/3)
2/3
(- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))
(pow (- 0 (cbrt x)) 2)
(- 0 (cbrt x))
0
(cbrt x)
2
(* (pow (+ 1 x) 1/3) (- 0 (cbrt x)))
(pow (+ 1 x) 1/3)
1/3
Outputs
(/ (/ 1 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (/ 1 (cbrt x)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (/ 1 (cbrt x))))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(cbrt (+ (/ 1 x) (/ 2 (* x x))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ (/ 1 x) (/ 2 (* x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/ 2 (* x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
(+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (/ 1 (cbrt x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(cbrt (+ (/ 1 (* x x)) (/ 1 x)))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+ (/ 1 (* x x)) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (cbrt x))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(cbrt x)
(cbrt.f64 x)
(/ 1/3 (pow x 2/3))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
1/3
#s(literal 1/3 binary64)
(pow x 2/3)
(pow.f64 x #s(literal 2/3 binary64))
x
2/3
#s(literal 2/3 binary64)
(* (pow (cbrt x) -2) 1/3)
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(pow (cbrt x) -2)
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(cbrt x)
(cbrt.f64 x)
x
-2
#s(literal -2 binary64)
1/3
#s(literal 1/3 binary64)
(/ (+ 1 (- x x)) (+ (pow (+ 1 x) 2/3) (+ (pow x 2/3) (cbrt (* x (+ 1 x))))))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+ 1 (- x x))
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(- x x)
#s(literal 0 binary64)
x
(+ (pow (+ 1 x) 2/3) (+ (pow x 2/3) (cbrt (* x (+ 1 x)))))
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(pow (+ 1 x) 2/3)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
2/3
#s(literal 2/3 binary64)
(+ (pow x 2/3) (cbrt (* x (+ 1 x))))
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(pow x 2/3)
(pow.f64 x #s(literal 2/3 binary64))
(cbrt (* x (+ 1 x)))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(* x (+ 1 x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(/ (- (+ 1 x) x) (+ (pow (+ 1 x) 2/3) (- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))))
(- (+ 1 x) x)
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (pow (+ 1 x) 2/3) (- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x)))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
(pow (+ 1 x) 2/3)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
(- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))
(pow (- 0 (cbrt x)) 2)
(pow.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 2 binary64))
(- 0 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
0
#s(literal 0 binary64)
(cbrt x)
(cbrt.f64 x)
2
#s(literal 2 binary64)
(* (pow (+ 1 x) 1/3) (- 0 (cbrt x)))
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))
(pow (+ 1 x) 1/3)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)

localize431.0ms (4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy92.0%
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
✓accuracy90.6%
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
✓accuracy8.4%
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
✓accuracy99.6%
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
✓accuracy90.6%
(pow.f64 x #s(literal 2/3 binary64))
✓accuracy90.6%
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
✓accuracy53.1%
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓accuracy99.3%
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy99.2%
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
✓accuracy90.6%
(pow.f64 x #s(literal 2/3 binary64))
✓accuracy99.5%
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy99.0%
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓accuracy99.0%
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
Results
339.0ms236×1valid
12.0ms20×0valid
Compiler

Compiled 358 to 42 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-pow: 45.0ms (25% of total)
backward-pass: 34.0ms (18.9% of total)
ival-div: 28.0ms (15.6% of total)
ival-add: 20.0ms (11.1% of total)
...c/correct-round.rkt:119:19: 16.0ms (8.9% of total)
ival-mult: 14.0ms (7.8% of total)
ival-cbrt: 12.0ms (6.7% of total)
ival-sub: 9.0ms (5% of total)
const: 1.0ms (0.6% of total)

series24.0ms (0.2%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (/ (/ 1 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (/ 1 (cbrt x)))))>
#<alt (/ 1 x)>
#<alt (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (/ 1 (cbrt x))))>
#<alt (cbrt (+ (/ 1 x) (/ 2 (* x x))))>
#<alt (/ 1/3 (pow x 2/3))>
#<alt (pow x 2/3)>
#<alt (* (pow (cbrt x) -2) 1/3)>
#<alt (pow (cbrt x) -2)>
#<alt (cbrt x)>
#<alt (+ 1 (- x x))>
#<alt (- x x)>
#<alt (/ (+ 1 (- x x)) (+ (pow (+ 1 x) 2/3) (+ (pow x 2/3) (cbrt (* x (+ 1 x))))))>
#<alt (+ (pow (+ 1 x) 2/3) (+ (pow x 2/3) (cbrt (* x (+ 1 x)))))>
#<alt (- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))>
#<alt (- (+ 1 x) x)>
#<alt (/ (- (+ 1 x) x) (+ (pow (+ 1 x) 2/3) (- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))))>
#<alt (+ 1 x)>
#<alt (cbrt (+ (/ 1 (* x x)) (/ 1 x)))>
#<alt (cbrt (* x (+ 1 x)))>
#<alt (pow (+ 1 x) 2/3)>
#<alt (pow (+ 1 x) 1/3)>
Outputs
#<alt (/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))>
#<alt (/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))>
#<alt (/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))>
#<alt (/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)>
#<alt (/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)>
#<alt (/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)>
#<alt (/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
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#<alt (/ (- (+ (* -1 (/ (+ (* -1/3 (* (/ (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3)))) (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))))) (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3)))) (* 5/81 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2)))))) (pow x 9))) (/ 1 (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) x)>
#<alt (/ -1 (* x (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))>
#<alt (* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/9 (* (/ 1 (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* 1/3 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))))) (pow x 3))) (/ 1 (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (* (/ (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3)))) (* -1/9 (* (/ (cbrt -1) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* (pow x 3) (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ (cbrt -1) (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3)))) (* -1/9 (* (/ (cbrt -1) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))))) (pow x 3))) (* 1/3 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))))) (pow x 3))) (/ 1 (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* (/ 1 x) (cbrt (+ x (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ x (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ x (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ x (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))>
#<alt (cbrt (+ x (pow x 2)))>
#<alt (cbrt (+ x (pow x 2)))>
#<alt (cbrt (+ x (pow x 2)))>
#<alt (cbrt (+ x (pow x 2)))>
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 2/3 x))>
#<alt (+ 1 (* x (+ 2/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))>
#<alt (* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
Calls

63 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ (- (+ 1 x) x) (+ (pow (+ 1 x) 2/3) (- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))))
3.0ms
x
@inf
(/ (- (+ 1 x) x) (+ (pow (+ 1 x) 2/3) (- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))))
2.0ms
x
@-inf
(- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))
2.0ms
x
@-inf
(/ (+ 1 (- x x)) (+ (pow (+ 1 x) 2/3) (+ (pow x 2/3) (cbrt (* x (+ 1 x))))))
2.0ms
x
@-inf
(/ (/ 1 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (/ 1 (cbrt x)))))

rewrite227.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
2238×*-lowering-*.f32
2238×*-lowering-*.f64
1550×fma-lowering-fma.f32
1550×fma-lowering-fma.f64
1514×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041186
1340150
23345147
09414146
Stop Event
1×iter limit
1×node limit
Counts
21 → 528
Calls
Call 1
Inputs
(/ (/ 1 x) (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (/ 1 (cbrt x)))))
(/ 1 x)
(+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (/ 1 (cbrt x))))
(cbrt (+ (/ 1 x) (/ 2 (* x x))))
(/ 1/3 (pow x 2/3))
(pow x 2/3)
(* (pow (cbrt x) -2) 1/3)
(pow (cbrt x) -2)
(cbrt x)
(+ 1 (- x x))
(- x x)
(/ (+ 1 (- x x)) (+ (pow (+ 1 x) 2/3) (+ (pow x 2/3) (cbrt (* x (+ 1 x))))))
(+ (pow (+ 1 x) 2/3) (+ (pow x 2/3) (cbrt (* x (+ 1 x)))))
(- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))
(- (+ 1 x) x)
(/ (- (+ 1 x) x) (+ (pow (+ 1 x) 2/3) (- (pow (- 0 (cbrt x)) 2) (* (pow (+ 1 x) 1/3) (- 0 (cbrt x))))))
(+ 1 x)
(cbrt (+ (/ 1 (* x x)) (/ 1 x)))
(cbrt (* x (+ 1 x)))
(pow (+ 1 x) 2/3)
(pow (+ 1 x) 1/3)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 (+.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (+.f64 (neg.f64 (+.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) (pow.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) x)
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))) x)
(pow.f64 (*.f64 x (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (+.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (cbrt.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) (pow.f64 x #s(literal -1/3 binary64)))))
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(pow.f64 (exp.f64 (log1p.f64 x)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/6 binary64)))

simplify275.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
3492×*-lowering-*.f32
3492×*-lowering-*.f64
2096×+-lowering-+.f64
2096×+-lowering-+.f32
2044×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05385939
117075067
264395067
080875067
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
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(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
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(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/9 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* (pow x 3) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))))) (pow x 3))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))
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(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (cbrt (/ 1 x)) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (cbrt (/ 1 x)) (+ (* -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))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (cbrt (/ 1 x)) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))))
(* -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))))
(- (cbrt (pow x 2)) (* -1 (cbrt (+ x (pow x 2)))))
(- (cbrt (pow x 2)) (* -1 (cbrt (+ x (pow x 2)))))
(- (cbrt (pow x 2)) (* -1 (cbrt (+ x (pow x 2)))))
(- (cbrt (pow x 2)) (* -1 (cbrt (+ x (pow x 2)))))
(* x (- (cbrt (/ 1 x)) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))
(* x (- (cbrt (/ 1 x)) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))
(* x (- (cbrt (/ 1 x)) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))
(* x (- (cbrt (/ 1 x)) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))
(* -1 (* x (- (* (cbrt (/ 1 x)) (pow (cbrt -1) 3)) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))
(* -1 (* x (- (* (cbrt (/ 1 x)) (pow (cbrt -1) 3)) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))
(* -1 (* x (- (* (cbrt (/ 1 x)) (pow (cbrt -1) 3)) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))
(* -1 (* x (- (* (cbrt (/ 1 x)) (pow (cbrt -1) 3)) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))
1
1
1
1
1
1
1
1
1
1
1
1
(/ 1 (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))))
(+ (* -2/3 (/ x (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (/ 1 (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2)))))))
(+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (* 4/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 3))))) (* 2/3 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))))) (/ 1 (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2)))))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 4/81 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (+ (* 2/27 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 3))) (* 2/3 (/ (+ (* 1/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (* 4/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 3)))) (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))))))))) (+ (* 1/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))) (* 4/9 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 3)))))) (* 2/3 (/ 1 (pow (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2))))) 2))))) (/ 1 (- (+ 1 (cbrt (pow x 2))) (* -1 (cbrt (+ x (pow x 2)))))))
(/ 1 (* x (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))
(/ (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3)))) (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))))) (pow x 6))) (/ 1 (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/3 (* (/ (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3)))) (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))))) (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3)))) (* 5/81 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))) (/ 1 (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2)))))) (pow x 9))) (/ 1 (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) (* -1 (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) x)
(/ -1 (* x (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))))))
(* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/9 (* (/ 1 (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* 1/3 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))))) (pow x 3))) (/ 1 (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (* (/ (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3)))) (* -1/9 (* (/ (cbrt -1) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* (pow x 3) (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ (cbrt -1) (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (* (pow x 3) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (+ (* -1/9 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 3)))) (* -1/9 (* (/ (cbrt -1) (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))))) (pow x 3))) (* 1/3 (* (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))) (/ 1 (pow (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))) 2))))) (pow x 3))) (/ 1 (- (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 3))) (* -1 (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))))) x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
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(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
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(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
1
(+ 1 (* 2/3 x))
(+ 1 (* x (+ 2/3 (* -1/9 x))))
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(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
Outputs
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
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(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
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(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
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(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
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(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
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(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/ 1 x)
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(*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.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 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.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) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (*.f64 x x))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(*.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (neg.f64 x))

eval174.0ms (1.6%)

Compiler

Compiled 40228 to 3574 computations (91.1% saved)

prune184.0ms (1.7%)

Pruning

51 alts after pruning (43 fresh and 8 done)

PrunedKeptTotal
New1253281281
Fresh231538
Picked325
Done066
Total1279511330
Accuracy
100.0%
Counts
1330 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
52.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))) x))
52.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
92.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 1/3 binary64))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
98.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
97.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
97.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
98.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
98.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
96.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
96.6%
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
9.3%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
9.3%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
24.3%
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
49.4%
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
98.1%
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
52.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
49.8%
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
52.2%
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
89.7%
(/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2/3 binary64)))
96.6%
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
✓88.9%
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
45.8%
(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4/3 binary64))))
97.4%
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
44.7%
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal -2/3 binary64))))
51.1%
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
7.0%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
3.2%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (pow.f64 x #s(literal 1/3 binary64)))
3.2%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (cbrt.f64 x))
✓7.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓6.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓1.8%
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
87.5%
(*.f64 (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1/3 binary64))
87.5%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) x)) #s(literal -2 binary64)) #s(literal 1/3 binary64))
89.7%
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
✓96.6%
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
✓88.9%
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
45.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
89.1%
(*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))
51.1%
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
96.6%
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
96.6%
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))))
51.1%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
96.4%
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
51.1%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
✓51.1%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
48.9%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))))))
✓51.0%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
51.1%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
89.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
49.6%
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
Compiler

Compiled 2963 to 984 computations (66.8% saved)

regimes78.0ms (0.7%)

Counts
105 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal -2/3 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (cbrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) x)) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (cbrt.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.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)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 x x))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64)))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
(/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x))
(/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 1/3 binary64))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(/.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))) x)) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
Calls

2 calls:

41.0ms
x
27.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes64.0ms (0.6%)

Counts
87 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal -2/3 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (cbrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) x)) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (cbrt.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.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)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 x x))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64)))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)))))
(/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x))
(/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 1/3 binary64))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
Calls

2 calls:

29.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
25.0ms
x
Results
AccuracySegmentsBranch
98.3%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
98.3%1x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes40.0ms (0.4%)

Counts
66 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal -2/3 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (cbrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) x)) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (cbrt.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.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)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 x x))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Calls

2 calls:

20.0ms
x
14.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
98.1%1x
98.1%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes50.0ms (0.5%)

Counts
65 → 2
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal -2/3 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (cbrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) x)) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (cbrt.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.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)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 x x))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
Outputs
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
Calls

2 calls:

25.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
17.0ms
x
Results
AccuracySegmentsBranch
99.2%2(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
99.2%2x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes39.0ms (0.4%)

Counts
55 → 2
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal -2/3 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (cbrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) x)) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (cbrt.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.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)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
Outputs
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
Calls

2 calls:

21.0ms
x
15.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
99.1%2x
99.1%2(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes39.0ms (0.4%)

Counts
51 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal -2/3 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (cbrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) x)) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (cbrt.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.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)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
Outputs
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
Calls

2 calls:

13.0ms
x
11.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
97.4%1x
97.4%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
Outputs
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
92.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
Outputs
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
88.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
1.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch6.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
5.0ms
251998970645458.9
1237344477141003.0
Results
4.0ms32×1valid
Compiler

Compiled 78 to 49 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-cbrt: 1.0ms (42% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.9103830456733704e-11
8.003553375601768e-11
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch29.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
1.2699980067874875e+154
2.7595445661945484e+161
Results
22.0ms144×1valid
Compiler

Compiled 147 to 117 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 7.0ms (47.9% of total)
ival-cbrt: 4.0ms (27.4% of total)
backward-pass: 2.0ms (13.7% of total)
ival-sub: 1.0ms (6.8% of total)
const: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
36×+-commutative_binary64
10×sub-neg_binary64
8×*-commutative_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063189
187189
295189
399189
4101189
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal 1000000000000000 binary64)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x))))) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal 1000000000000000 binary64)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (*.f64 x x))))) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x))))
(if (<=.f64 x #s(literal 1000000000000000 binary64)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))

soundness2.3s (21.8%)

Rules
4616×*-lowering-*.f32
4616×*-lowering-*.f64
4540×*-lowering-*.f32
4540×*-lowering-*.f64
3492×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030103
119991
2174191
01039790
04524799
113714090
251364061
081474061
0616
13916
229116
3338716
0899116
041186
1340150
23345147
09414146
05385939
117075067
264395067
080875067
0146551
1378495
21081488
33258483
08146483
033144
1239132
22156132
08404130
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 456 to 238 computations (47.8% saved)

preprocess64.0ms (0.6%)

Compiler

Compiled 448 to 154 computations (65.6% saved)

end0.0ms (0%)

Profiling

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