2cbrt (problem 3.3.4)

Time bar (total: 10.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze51.0ms (0.5%)

Memory
-43.4MiB live, 2.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.7s (16%)

Memory
99.7MiB live, 2 068.5MiB allocated
Samples
1.1s6 331×1valid
300.0ms1 667×2valid
16.0ms258×0valid
Precisions
Click to see histograms. Total time spent on operations: 989.0ms
ival-cbrt: 381.0ms (38.5% of total)
adjust: 183.0ms (18.5% of total)
const: 142.0ms (14.4% of total)
ival-add: 91.0ms (9.2% of total)
ival-sub: 81.0ms (8.2% of total)
ival->: 66.0ms (6.7% of total)
ival-<: 22.0ms (2.2% of total)
ival-and: 11.0ms (1.1% of total)
exact: 7.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess39.0ms (0.4%)

Memory
-43.2MiB live, 35.3MiB allocated
Algorithm
1×egg-herbie
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
46×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

explain111.0ms (1%)

Memory
12.1MiB live, 167.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2551(331.94193567596034)0-(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(cbrt.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))cancellation2560
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms398×1valid
15.0ms100×2valid
1.0ms14×0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-cbrt: 15.0ms (42.6% of total)
adjust: 9.0ms (25.6% of total)
ival-add: 5.0ms (14.2% of total)
ival-sub: 5.0ms (14.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.6%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify10.0ms (0.1%)

Memory
-29.1MiB live, 9.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize37.0ms (0.3%)

Memory
11.8MiB live, 49.2MiB allocated
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)
✓accuracy6.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Samples
20.0ms199×1valid
7.0ms50×2valid
0.0ms7×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cbrt: 9.0ms (48.1% of total)
adjust: 5.0ms (26.7% of total)
ival-add: 3.0ms (16% of total)
ival-sub: 2.0ms (10.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
28.3MiB live, 28.3MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))>
#<alt (cbrt.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (cbrt.f64 x)>
Outputs
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(- (cbrt (+ x 1)) (cbrt x))
3.0ms
x
@inf
(- (cbrt (+ x 1)) (cbrt x))
3.0ms
x
@-inf
(cbrt x)
2.0ms
x
@0
(cbrt x)
1.0ms
x
@inf
(cbrt x)

simplify254.0ms (2.4%)

Memory
1.1MiB live, 353.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 306×lower-fma.f64
6 306×lower-fma.f32
4 226×lower-*.f64
4 226×lower-*.f32
1 638×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite337.0ms (3.2%)

Memory
-3.6MiB live, 313.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 430×lower-fma.f64
5 430×lower-fma.f32
2 846×lower-*.f64
2 846×lower-*.f32
2 158×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
14316
228216
3310116
0909216
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 357
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(cbrt.f64 x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64)))
(+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
(-.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (cbrt.f64 x))
(fma.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 x) #s(literal -1 binary64) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (pow.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) (-.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (cbrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
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(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 x x x)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2/3 binary64)))
(cbrt.f64 x)
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))

eval101.0ms (0.9%)

Memory
-5.1MiB live, 74.5MiB allocated
Compiler

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

prune82.0ms (0.8%)

Memory
-0.5MiB live, 123.8MiB allocated
Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New37528403
Fresh000
Picked011
Done000
Total37529404
Accuracy
52.7%
Counts
404 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(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)))))
4.2%
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (neg.f64 (cbrt.f64 x)))
8.0%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x)))
9.3%
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
4.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
▶5.2%
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
6.6%
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
5.0%
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
8.0%
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
6.5%
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
5.9%
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (*.f64 x (sqrt.f64 x))) (cbrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (cbrt.f64 x))
6.5%
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
6.7%
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x))
▶6.6%
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
5.4%
(-.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (cbrt.f64 x))
▶7.9%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
7.9%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
7.0%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
7.9%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
7.1%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
✓6.6%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
6.6%
(-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
6.1%
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
4.3%
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
▶1.8%
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
4.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
26.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x)))
26.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
▶50.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
Compiler

Compiled 776 to 512 computations (34% saved)

simplify22.0ms (0.2%)

Memory
22.2MiB live, 22.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(exp.f64 #s(literal 1/3 binary64))
✓cost-diff0
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x))
✓cost-diff0
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (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))) (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
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
✓cost-diff0
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
✓cost-diff0
(cbrt.f64 x)
✓cost-diff0
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
✓cost-diff0
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓cost-diff0
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
Rules
276×lower-fma.f64
276×lower-fma.f32
174×lower-*.f32
170×lower-*.f64
100×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030148
051130
168130
294130
3116130
4152130
5210130
6295130
7353130
8418130
9459130
10479130
0479130
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1/3 binary64)
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(cbrt.f64 x)
x
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
(cbrt.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)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 2 binary64)
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x))
(exp.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(log1p.f64 x)
x
(cbrt.f64 x)
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1/3 binary64)
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(cbrt.f64 x)
x
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
(cbrt.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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 x)
(pow.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 2 binary64)
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x))
(exp.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(log1p.f64 x)
x
(cbrt.f64 x)

localize375.0ms (3.5%)

Memory
4.0MiB live, 271.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 #s(literal 1/3 binary64))
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy93.3%
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x))
✓accuracy6.8%
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
✓accuracy99.4%
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
✓accuracy99.2%
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓accuracy93.6%
(pow.f64 x #s(literal 1/6 binary64))
✓accuracy6.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
✓accuracy99.2%
(cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy6.8%
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
✓accuracy100.0%
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy1.8%
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓accuracy97.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓accuracy53.2%
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
Samples
247.0ms200×1valid
57.0ms50×2valid
1.0ms6×0valid
Compiler

Compiled 143 to 26 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 241.0ms
ival-pow: 62.0ms (25.7% of total)
ival-sub: 38.0ms (15.7% of total)
ival-cbrt: 34.0ms (14.1% of total)
const: 28.0ms (11.6% of total)
ival-add: 22.0ms (9.1% of total)
adjust: 16.0ms (6.6% of total)
ival-log1p: 12.0ms (5% of total)
ival-exp: 11.0ms (4.6% of total)
ival-div: 9.0ms (3.7% of total)
ival-pow2: 5.0ms (2.1% of total)
ival-mult: 5.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series138.0ms (1.3%)

Memory
1.5MiB live, 129.1MiB allocated
Counts
20 → 228
Calls
Call 1
Inputs
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))>
#<alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))>
#<alt (cbrt.f64 x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))>
#<alt (-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))>
#<alt (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))>
#<alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))>
#<alt (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x))>
#<alt (exp.f64 #s(literal 1/3 binary64))>
#<alt (log1p.f64 x)>
#<alt (pow.f64 x #s(literal 1/6 binary64))>
Outputs
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 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>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 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 (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 (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 (cbrt x))>
#<alt 0>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* -1 (* x (- (* -1 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (+ (cbrt x) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (cbrt x) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (+ (cbrt x) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))>
#<alt (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))>
#<alt (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))>
#<alt (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/81 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<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

57 calls:

TimeVariablePointExpression
47.0ms
x
@0
(pow x 1/6)
19.0ms
x
@-inf
(pow x 1/6)
17.0ms
x
@-inf
(* 1/3 (cbrt (/ 1 (* x x))))
7.0ms
x
@-inf
(- (cbrt (+ x 1)) (pow (pow x 1/6) 2))
7.0ms
x
@inf
(pow x 1/6)

simplify430.0ms (4%)

Memory
-15.5MiB live, 299.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 472×lower-fma.f64
7 472×lower-fma.f32
3 964×lower-*.f64
3 964×lower-*.f32
2 590×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02713001
17212816
221882781
350352679
083582530
Stop Event
1×iter limit
1×node limit
Counts
228 → 223
Calls
Call 1
Inputs
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
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 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 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 (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 (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 (cbrt x))
0
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* (cbrt x) (cbrt -1))
(* -1 (* x (- (* -1 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(+ (cbrt x) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (cbrt x) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(+ (cbrt x) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/81 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(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
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)) (cbrt.f64 x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))
(* 1/3 (* (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 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 (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 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
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(cbrt.f64 x)
(+ (cbrt x) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 x))
(+ (cbrt x) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 x)))
(+ (cbrt x) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 x))))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))
(-.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) x))
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/81 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))
(+.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 5/81 binary64) x))) x)) x))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))
(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))

rewrite522.0ms (4.9%)

Memory
12.9MiB live, 607.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 560×lower-fma.f64
6 560×lower-fma.f32
3 724×lower-*.f32
3 720×lower-*.f64
2 672×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030125
051105
118397
2105896
0857593
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 140
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
(cbrt.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(cbrt.f64 (/.f64 #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)))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x))
(exp.f64 #s(literal 1/3 binary64))
(log1p.f64 x)
(pow.f64 x #s(literal 1/6 binary64))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal -2/3 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(pow.f64 (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 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (neg.f64 x)))))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -12 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (cbrt.f64 x)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))) (neg.f64 (/.f64 x (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64)))))))
(+.f64 (/.f64 (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)))))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))) (/.f64 x (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))))
(-.f64 (/.f64 (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))))
(-.f64 (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(literal 0 binary64)) (cbrt.f64 x))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))) (neg.f64 (/.f64 x (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64)))))))
(fma.f64 (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)))))
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (fma.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) x))) (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) x))) (*.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (*.f64 x x))) (fma.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) (log1p.f64 (-.f64 (*.f64 x x) x)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (*.f64 x (neg.f64 x))) (fma.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)) (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log1p.f64 x) (log1p.f64 x))) (neg.f64 (log1p.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (neg.f64 (log1p.f64 x)))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) x))) (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) x))))) (neg.f64 (log1p.f64 x)))
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (*.f64 x x)))) (*.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) (log1p.f64 (-.f64 (*.f64 x x) x)))) (+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))) (+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(log1p.f64 x)
(log1p.f64 (neg.f64 (neg.f64 x)))
(log1p.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(log1p.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)))
(*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64))
(*.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/12 binary64)))
(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 x x) #s(literal 1/12 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 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 (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 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64)))

eval458.0ms (4.3%)

Memory
-108.3MiB live, 488.4MiB allocated
Compiler

Compiled 29 563 to 3 390 computations (88.5% saved)

prune399.0ms (3.7%)

Memory
-23.4MiB live, 469.3MiB allocated
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New1 575221 597
Fresh17623
Picked415
Done011
Total1 596301 626
Accuracy
99.4%
Counts
1 626 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.2%
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (neg.f64 (cbrt.f64 x)))
9.3%
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x)))))
9.3%
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
4.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
5.4%
(-.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))
7.9%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓6.6%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
6.6%
(-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
26.5%
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
▶4.1%
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
26.3%
#s(approx (- (cbrt (/ 1 (/ 1 (+ x 1)))) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
26.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x)))
▶26.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
47.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
96.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
▶96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
51.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (neg.f64 x))))))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))))
▶27.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))
▶51.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓50.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
51.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))))))
51.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))))))
51.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 776 to 507 computations (34.7% saved)

simplify203.0ms (1.9%)

Memory
18.5MiB live, 135.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
✓cost-diff0
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
✓cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
✓cost-diff0
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))
✓cost-diff0
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))))
✓cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))
✓cost-diff0
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
✓cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓cost-diff0
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
✓cost-diff0
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
✓cost-diff0
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
✓cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
Rules
1 528×lower-fma.f32
1 526×lower-fma.f64
1 084×lower-*.f32
1 068×lower-*.f64
534×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043259
067237
191217
2102217
3116217
4134217
5164217
6238217
7302217
8374217
9407217
10443217
11468217
12561217
13916217
141914217
152674217
163206217
173578217
183802217
193814217
203814217
213852217
223888217
233946217
243958217
253958217
263958217
03958215
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
#s(literal 1/3 binary64)
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(cbrt.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
#s(literal 1/3 binary64)
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal -1/2 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
#s(literal 1/3 binary64)
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(cbrt.f64 x)
#s(literal -1/9 binary64)
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) (cbrt.f64 (neg.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) (cbrt.f64 (neg.f64 x)))
#s(literal 1/3 binary64)
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(cbrt.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1/3 binary64)
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal -1/2 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
#s(literal 1/3 binary64)
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x x)
x
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(cbrt.f64 x)
#s(literal -1/9 binary64)

localize289.0ms (2.7%)

Memory
-2.0MiB live, 551.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy54.9%
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
✓accuracy52.1%
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
✓accuracy51.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))))
✓accuracy97.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))
✓accuracy77.0%
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))
✓accuracy53.2%
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
✓accuracy97.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓accuracy53.2%
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
✓accuracy100.0%
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
✓accuracy99.2%
(cbrt.f64 (neg.f64 x))
✓accuracy99.0%
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
✓accuracy97.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
Samples
172.0ms200×1valid
69.0ms49×2valid
2.0ms7×0valid
Compiler

Compiled 209 to 39 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-mult: 42.0ms (20.9% of total)
ival-cbrt: 35.0ms (17.4% of total)
ival-pow: 31.0ms (15.4% of total)
adjust: 27.0ms (13.4% of total)
const: 16.0ms (8% of total)
ival-log1p: 14.0ms (7% of total)
ival-exp: 12.0ms (6% of total)
ival-div: 10.0ms (5% of total)
ival-sub: 6.0ms (3% of total)
ival-add: 6.0ms (3% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.8%)

Memory
11.0MiB live, 207.6MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))>
#<alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))>
#<alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x))>
#<alt #s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) x)>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))>
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))>
#<alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))))>
#<alt (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))>
#<alt (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))>
#<alt (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))>
#<alt (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))>
#<alt (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))>
#<alt (cbrt.f64 (neg.f64 x))>
#<alt (cbrt.f64 x)>
Outputs
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (* 1/3 (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 (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 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 (cbrt x))>
#<alt 0>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* -1 (* x (- (* -1 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (* -1/9 (cbrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (* -1/9 (cbrt x))>
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))>
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))>
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt 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

57 calls:

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

simplify299.0ms (2.8%)

Memory
-17.8MiB live, 613.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 210×lower-fma.f64
10 210×lower-fma.f32
3 824×lower-*.f64
3 824×lower-*.f32
2 524×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01582550
13672451
28582439
320892414
443572387
083182271
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* -1 (cbrt x))
0
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* (cbrt x) (cbrt -1))
(* -1 (* x (- (* -1 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* -1/9 (cbrt (/ 1 (pow x 5))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* -1/9 (cbrt x))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(* 1/3 (cbrt (pow x 4)))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* 1/3 (cbrt (pow x 4)))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
Outputs
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
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(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))))))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* -1 (cbrt x))
(neg.f64 (cbrt.f64 x))
(* -1 (cbrt x))
(neg.f64 (cbrt.f64 x))
(* -1 (cbrt x))
(neg.f64 (cbrt.f64 x))
(* -1 (cbrt x))
(neg.f64 (cbrt.f64 x))
(cbrt 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) (pow.f64 #s(literal -1 binary64) #s(literal 4/3 binary64)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal -1 binary64) #s(literal 4/3 binary64)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal -1 binary64) #s(literal 4/3 binary64)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal -1 binary64) #s(literal 4/3 binary64)))

rewrite312.0ms (2.9%)

Memory
-3.0MiB live, 519.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 436×lower-fma.f32
4 434×lower-fma.f64
3 556×lower-*.f32
3 544×lower-*.f64
3 296×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043209
067189
1210147
21271145
08797131
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 708
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(cbrt.f64 (neg.f64 x))
(cbrt.f64 x)
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))))) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/3 binary64))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x))))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (neg.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x))))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2/3 binary64)))
(pow.f64 x #s(literal -2/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/12 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/6 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
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eval106.0ms (1%)

Memory
49.0MiB live, 274.2MiB allocated
Compiler

Compiled 16 022 to 1 443 computations (91% saved)

prune169.0ms (1.6%)

Memory
-14.7MiB live, 228.3MiB allocated
Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New92313936
Fresh32023
Picked145
Done022
Total92739966
Accuracy
99.5%
Counts
966 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.2%
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (neg.f64 (cbrt.f64 x)))
9.3%
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x)))))
9.3%
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
4.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
5.4%
(-.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))
7.9%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓6.6%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
6.6%
(-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
26.5%
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
✓4.1%
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
46.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
26.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x)))
46.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (*.f64 x x)))
▶49.9%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
50.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
50.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
✓26.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
96.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x)))))
▶25.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
▶89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
47.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
96.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
▶96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
✓96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
51.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (neg.f64 x))))))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
96.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))
▶96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/6 binary64)))))
✓51.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓50.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
51.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))))))
51.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))))
51.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
51.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 983 to 639 computations (35% saved)

simplify197.0ms (1.8%)

Memory
15.8MiB live, 129.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64))
✓cost-diff0
(fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
✓cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
✓cost-diff320
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))
✓cost-diff0
#s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))))
✓cost-diff0
(/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x))
✓cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
✓cost-diff0
(pow.f64 x #s(literal -2/3 binary64))
✓cost-diff0
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
✓cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓cost-diff0
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
✓cost-diff320
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
✓cost-diff704
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
Rules
1 832×lower-fma.f32
1 830×lower-fma.f64
1 340×lower-*.f32
1 324×lower-*.f64
642×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040306
060292
193254
2111254
3122254
4131254
5146254
6178254
7207254
8261254
9301254
10477254
11587254
12754254
131161254
141783254
152214254
163652254
174092254
184323254
194359254
204382254
214393254
224470254
234610254
244700254
254712254
264712254
274712254
04712251
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(literal 1 binary64)
(cbrt.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal -2/3 binary64))
x
#s(literal -2/3 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
(/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x))
#s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))
#s(literal 1/3 binary64)
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
#s(literal 1/3 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(literal 1 binary64)
(cbrt.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
#s(literal 1/3 binary64)
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64))
(cbrt.f64 x)
x
#s(literal 4 binary64)
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(*.f64 x x)
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(literal 1 binary64)
(cbrt.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(pow.f64 x #s(literal -2/3 binary64))
x
#s(literal -2/3 binary64)
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)))
(/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x))
(/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
#s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
#s(literal 1/3 binary64)
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
#s(literal 1/3 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(literal 1 binary64)
(cbrt.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
#s(literal 1/3 binary64)
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64))
(cbrt.f64 x)
x
#s(literal 4 binary64)
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(*.f64 x x)

localize216.0ms (2%)

Memory
-10.8MiB live, 441.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy99.0%
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64))
✓accuracy52.1%
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
✓accuracy51.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
✓accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy97.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
✓accuracy97.8%
#s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))))
✓accuracy54.9%
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
✓accuracy52.1%
(/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x))
✓accuracy51.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
✓accuracy99.4%
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
✓accuracy97.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
✓accuracy90.8%
(pow.f64 x #s(literal -2/3 binary64))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
✓accuracy99.2%
(cbrt.f64 x)
✓accuracy97.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
Samples
110.0ms200×1valid
48.0ms49×2valid
2.0ms7×0valid
Compiler

Compiled 214 to 35 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 30.0ms (23.4% of total)
const: 25.0ms (19.5% of total)
ival-pow: 19.0ms (14.8% of total)
adjust: 15.0ms (11.7% of total)
ival-cbrt: 12.0ms (9.4% of total)
ival-div: 12.0ms (9.4% of total)
ival-add: 7.0ms (5.5% of total)
ival-sub: 4.0ms (3.1% of total)
ival-fabs: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series177.0ms (1.7%)

Memory
-33.1MiB live, 247.5MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))>
#<alt (/.f64 #s(literal 1 binary64) (cbrt.f64 x))>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 x #s(literal -2/3 binary64))>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))>
#<alt (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x))>
#<alt #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))))>
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))>
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))>
#<alt (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))>
#<alt (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))>
#<alt (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))>
#<alt (cbrt.f64 x)>
#<alt (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))>
Outputs
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<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 (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))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 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 (* 1/3 (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 (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 (* -1/9 (cbrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (* -1/9 (cbrt x))>
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))>
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))>
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<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 (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 (* -1/9 (cbrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4)))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4))))>
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4))))>
#<alt (* -1/9 (cbrt x))>
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))>
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))>
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))>
#<alt (* 1/3 (cbrt (pow x 4)))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))>
#<alt (* 1/3 (* (cbrt (pow x 4)) (pow (cbrt -1) 4)))>
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4)))))>
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4)))))>
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4)))))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (* (cbrt (pow x 4)) (pow (cbrt -1) 4))>
#<alt (* (cbrt (pow x 4)) (pow (cbrt -1) 4))>
#<alt (* (cbrt (pow x 4)) (pow (cbrt -1) 4))>
#<alt (* (cbrt (pow x 4)) (pow (cbrt -1) 4))>
#<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 (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
Calls

60 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* (/ 1 (cbrt x)) (/ 1 (cbrt x)))
4.0ms
x
@0
(/ 1 (cbrt x))
4.0ms
x
@-inf
(/ (+ (* 1/3 (pow (cbrt x) 4)) (* (cbrt x) -1/9)) (* x x))
3.0ms
x
@-inf
(* (/ 1 (cbrt x)) (/ 1 (cbrt x)))
3.0ms
x
@-inf
(pow (cbrt x) 4)

simplify303.0ms (2.8%)

Memory
13.3MiB live, 409.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 136×lower-fma.f64
10 136×lower-fma.f32
4 938×lower-*.f64
4 938×lower-*.f32
1 906×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233075
12732928
26372928
314572928
426542928
559952928
080652802
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(- 1 (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))
(* -1/9 (cbrt (/ 1 (pow x 5))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* -1/9 (cbrt x))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(* 1/3 (cbrt (pow x 4)))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* 1/3 (cbrt (pow x 4)))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(* 1/3 (cbrt (pow x 4)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(- 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))
(* -1/9 (cbrt (/ 1 (pow x 5))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4)))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4))))
(* -1/9 (cbrt x))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(* 1/3 (cbrt (pow x 4)))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* 1/3 (* (cbrt (pow x 4)) (pow (cbrt -1) 4)))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4)))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4)))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 4)))))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(* (cbrt (pow x 4)) (pow (cbrt -1) 4))
(* (cbrt (pow x 4)) (pow (cbrt -1) 4))
(* (cbrt (pow x 4)) (pow (cbrt -1) 4))
(* (cbrt (pow x 4)) (pow (cbrt -1) 4))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
Outputs
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.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 (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 x (*.f64 x x)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (*.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.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 (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 x (*.f64 x x)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (*.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
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(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))
(cbrt (pow x 4))
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))

rewrite292.0ms (2.7%)

Memory
31.3MiB live, 343.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 178×lower-fma.f32
8 176×lower-fma.f64
5 362×lower-*.f32
5 346×lower-*.f64
3 504×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040261
060243
1181196
21006184
08021171
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 732
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal -2/3 binary64))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
(/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x))
#s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64))
(cbrt.f64 x)
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))
Outputs
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/3 binary64) (*.f64 (log.f64 x) #s(literal -1/3 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x))
(/.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(/.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal -2/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64))
(pow.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -2/3 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (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 1/6 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64)))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2/3 binary64))) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64)))))
(neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x))))
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x))) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(pow.f64 x #s(literal -1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/6 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal -1/9 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))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #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 -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2/3 binary64))) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64)))))
(neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x))))
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 1 binary64))
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(*.f64 (/.f64 (fma.f64 x #s(literal -1/729 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64))) (fma.f64 (*.f64 x #s(literal -1/729 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64))) (-.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64)))))))
(*.f64 (/.f64 (fma.f64 x #s(literal -1/729 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64))) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/81 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64) (*.f64 #s(literal 1/729 binary64) x))) (fma.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64)))))
(exp.f64 (*.f64 #s(literal 4/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) (log.f64 x)))
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 x (pow.f64 x #s(literal -1/3 binary64)))
(/.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(/.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 x))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) x) #s(literal -1 binary64))
(/.f64 (*.f64 x (neg.f64 (cbrt.f64 x))) #s(literal -1 binary64))
(pow.f64 x #s(literal 4/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2/3 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 4/9 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4/3 binary64)))
(*.f64 x (cbrt.f64 x))
(*.f64 (cbrt.f64 x) x)
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) x))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(neg.f64 (neg.f64 (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64)))
(/.f64 (cbrt.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64)))
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x)))
(*.f64 (neg.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 1/6 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 4/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) (log.f64 x)))
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 x (pow.f64 x #s(literal -1/3 binary64)))
(/.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(/.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 x))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) x) #s(literal -1 binary64))
(/.f64 (*.f64 x (neg.f64 (cbrt.f64 x))) #s(literal -1 binary64))
(pow.f64 x #s(literal 4/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2/3 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 4/9 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4/3 binary64)))
(*.f64 x (cbrt.f64 x))
(*.f64 (cbrt.f64 x) x)
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) x))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 4/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))

eval203.0ms (1.9%)

Memory
-39.1MiB live, 221.0MiB allocated
Compiler

Compiled 22 984 to 2 147 computations (90.7% saved)

prune157.0ms (1.5%)

Memory
5.6MiB live, 352.9MiB allocated
Pruning

48 alts after pruning (39 fresh and 9 done)

PrunedKeptTotal
New1 259241 283
Fresh131528
Picked145
Done156
Total1 274481 322
Accuracy
99.7%
Counts
1 322 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.2%
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (neg.f64 (cbrt.f64 x)))
9.3%
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x)))))
9.3%
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
4.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
7.9%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓6.6%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
6.6%
(-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
26.5%
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
✓4.1%
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
26.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x)))
50.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
✓26.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
73.4%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))))
73.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) x))
73.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
73.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) x)))
96.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x)))))
50.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x)))
45.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
49.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))))) (*.f64 x x)))
49.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x)))
49.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
✓25.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
50.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
50.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) (neg.f64 (*.f64 x x)))))
34.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
47.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
96.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
✓89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
66.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))))
73.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
50.5%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))
89.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
89.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 x))))
96.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))))))
✓96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))))
96.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))
✓96.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
✓51.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓50.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
51.3%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 1 796 to 738 computations (58.9% saved)

regimes50.0ms (0.5%)

Memory
26.1MiB live, 106.7MiB allocated
Counts
88 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) (neg.f64 (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/6 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (neg.f64 x))))))
(-.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (neg.f64 (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (/ 1 (/ 1 (+ x 1)))) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))))
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x)))))
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (*.f64 x (sqrt.f64 x))) (cbrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x)))
(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)))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))))
Calls

2 calls:

26.0ms
x
19.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
98.5%2x
98.4%2(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes43.0ms (0.4%)

Memory
-20.4MiB live, 97.5MiB allocated
Counts
81 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) (neg.f64 (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/6 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (neg.f64 x))))))
(-.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (neg.f64 (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (/ 1 (/ 1 (+ x 1)))) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))))
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x)))))
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (*.f64 x (sqrt.f64 x))) (cbrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
Outputs
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))))
Calls

2 calls:

22.0ms
x
17.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
98.4%2(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
98.4%2x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes39.0ms (0.4%)

Memory
5.6MiB live, 67.1MiB allocated
Counts
67 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) (neg.f64 (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/6 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (neg.f64 x))))))
(-.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (neg.f64 (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (/ 1 (/ 1 (+ x 1)))) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))))
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
Calls

2 calls:

18.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
17.0ms
x
Results
AccuracySegmentsBranch
98.4%2x
98.4%2(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes34.0ms (0.3%)

Memory
1.9MiB live, 41.2MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) (neg.f64 (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/6 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (neg.f64 x))))))
(-.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (neg.f64 (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (/ 1 (/ 1 (+ x 1)))) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))))
Calls

2 calls:

17.0ms
x
13.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
96.8%1x
96.8%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes32.0ms (0.3%)

Memory
-25.5MiB live, 13.7MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) (neg.f64 (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/6 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (neg.f64 x))))))
(-.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))
Calls

2 calls:

21.0ms
x
9.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
96.7%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
96.7%1x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) (neg.f64 (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/6 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
Calls

2 calls:

11.0ms
x
8.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
96.7%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
96.7%1x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes22.0ms (0.2%)

Memory
-12.6MiB live, 26.2MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) (neg.f64 (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) x)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
Calls

2 calls:

12.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
8.0ms
x
Results
AccuracySegmentsBranch
89.1%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
95.6%2x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
95.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Memory
-26.8MiB live, 12.7MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
93.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
92.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
92.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Memory
-27.4MiB live, 10.1MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
92.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
89.1%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
89.1%1x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
Calls

2 calls:

3.0ms
x
3.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
89.1%1x
89.1%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory
-31.4MiB live, 7.8MiB allocated
Accuracy

Total -1.5b remaining (-2.5%)

Threshold costs -1.5b (-2.5%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
Outputs
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
Calls

2 calls:

3.0ms
x
1.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
4.1%1x
4.1%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch20.0ms (0.2%)

Memory
36.4MiB live, 36.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.142883603825061e+77
1.3530996662788582e+83
Samples
12.0ms144×1valid
Compiler

Compiled 515 to 289 computations (43.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cbrt: 3.0ms (34.8% of total)
adjust: 2.0ms (23.2% of total)
ival-add: 2.0ms (23.2% of total)
ival-sub: 1.0ms (11.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
-12.1MiB live, 24.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
13.0ms
62502103051861.03
4778485440917583.0
Samples
10.0ms96×1valid
Compiler

Compiled 233 to 154 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cbrt: 2.0ms (39.5% of total)
adjust: 1.0ms (19.8% of total)
ival-sub: 1.0ms (19.8% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.9103830456733704e-11
2.1827872842550278e-10
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch17.0ms (0.2%)

Memory
-18.5MiB live, 25.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.3152343834813914e+231
9.831616812137836e+231
Samples
12.0ms96×1valid
Compiler

Compiled 155 to 112 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cbrt: 2.0ms (34.9% of total)
adjust: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% of total)
ival-sub: 1.0ms (17.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.3152343834813914e+231
9.831616812137836e+231
Compiler

Compiled 143 to 100 computations (30.1% saved)

bsearch15.0ms (0.1%)

Memory
29.3MiB live, 29.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.9298682114093153e+152
2.5528066085044718e+154
Samples
10.0ms112×1valid
Compiler

Compiled 165 to 115 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cbrt: 3.0ms (45.2% of total)
adjust: 2.0ms (30.2% of total)
ival-add: 1.0ms (15.1% of total)
ival-sub: 1.0ms (15.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
-37.5MiB live, 1.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
2.0ms
2.9298682114093153e+152
2.5528066085044718e+154
Compiler

Compiled 165 to 108 computations (34.5% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.9298682114093153e+152
2.5528066085044718e+154
Compiler

Compiled 165 to 108 computations (34.5% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.9298682114093153e+152
2.5528066085044718e+154
Compiler

Compiled 144 to 108 computations (25% saved)

simplify15.0ms (0.1%)

Memory
24.4MiB live, 24.4MiB allocated
Algorithm
1×egg-herbie
Rules
50×*-commutative_binary64
34×+-commutative_binary64
26×sub-neg_binary64
26×neg-sub0_binary64
26×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0123514
1157513
2176513
3204513
4229513
5244513
6247513
7248513
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)))))
(if (<=.f64 x #s(literal 400000000000000 binary64)) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 3599999999999999927528866518775664156989844603593320368516379136704025985419811699071246770511264932294165312460701511858392852753788385125945366965735191226755647137541293645214400448238332447239457688533507432507467018701727858688 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 3599999999999999927528866518775664156989844603593320368516379136704025985419811699071246770511264932294165312460701511858392852753788385125945366965735191226755647137541293645214400448238332447239457688533507432507467018701727858688 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) x)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))
Outputs
(if (<=.f64 x #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)))))
(if (<=.f64 x #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)))))
(if (<=.f64 x #s(literal 400000000000000 binary64)) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)))))
(if (<=.f64 x #s(literal 400000000000000 binary64)) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (fma.f64 x x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)))) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (/ 1 (cbrt x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 3599999999999999927528866518775664156989844603593320368516379136704025985419811699071246770511264932294165312460701511858392852753788385125945366965735191226755647137541293645214400448238332447239457688533507432507467018701727858688 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 3599999999999999927528866518775664156989844603593320368516379136704025985419811699071246770511264932294165312460701511858392852753788385125945366965735191226755647137541293645214400448238332447239457688533507432507467018701727858688 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) x) x)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 x (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (* (cbrt x) -1/9)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 x)))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64))

soundness2.1s (19.8%)

Memory
-11.2MiB live, 1 225.1MiB allocated
Rules
10 210×lower-fma.f64
10 210×lower-fma.f32
10 136×lower-fma.f64
10 136×lower-fma.f32
8 178×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02713001
17212816
221882781
350352679
083582530
01582550
13672451
28582439
320892414
443572387
083182271
0616
01016
14316
228216
3310116
0909216
01233075
12732928
26372928
314572928
426542928
559952928
080652802
0146602
1350564
2900564
32613561
45976561
08122528
040261
060243
1181196
21006184
08021171
030125
051105
118397
2105896
0857593
043209
067189
1210147
21271145
08797131
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 916 to 480 computations (47.6% saved)

preprocess84.0ms (0.8%)

Memory
24.7MiB live, 180.1MiB allocated
Compiler

Compiled 690 to 212 computations (69.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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