2cbrt (problem 3.3.4)

Time bar (total: 2.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (36.2%)

Memory
7.7MiB live, 1 080.9MiB allocated; 219ms collecting garbage
Samples
563.0ms6 227×1valid
256.0ms1 912×2valid
4.0ms117×0valid
Precisions
Click to see histograms. Total time spent on operations: 584.0ms
ival-cbrt: 284.0ms (48.6% of total)
adjust: 189.0ms (32.4% of total)
ival-add!: 56.0ms (9.6% of total)
ival-sub!: 55.0ms (9.4% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess158.0ms (5.4%)

Memory
-10.6MiB live, 35.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01225
13422
26921
315121
442321
5281621
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.9%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 12 to 12 computations (0% saved)

series9.0ms (0.3%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
6 → 22
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
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 1))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/3 x))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* -1/9 x))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (cbrt x) #s(hole binary64 (cbrt x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 0))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ 1/3 (pow x 2/3))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* x (- (* 1/3 (/ 1 (pow x 5/3))) (* 1/9 (/ 1 (pow x 8/3)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (/ 1 (pow x 2/3)) (* 1/3 (/ 1 (pow x 5/3)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (/ -1/9 (pow x 8/3)) (+ (/ 1/3 (pow x 5/3)) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (/ -1/9 (pow x 8/3)) (+ (/ 1/3 (pow x 5/3)) (+ (/ 1 (pow x 2/3)) (* 5/81 (/ 1 (pow x 11/3)))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (* 1/3 (/ 1 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (+ (/ -1/9 (pow x 5/3)) (/ 1/3 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (pow x 4/3))) (pow x 3))) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -5/81 (pow x 7/3)) (* 1/9 (pow x 10/3))) (pow x 3))) (* 1/3 (pow x 4/3))) (pow x 3))) (/ 1 (pow x 2/3)))))))
Calls

3 calls:

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

rewrite257.0ms (8.8%)

Memory
-1.8MiB live, 148.4MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013138654705828
0136455
1874390
27999390
08010359
127658359
Stop Event
saturated
node-limit
iter-limit
Counts
28 → 56
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)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 1))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/3 x))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* -1/9 x))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (cbrt x) #s(hole binary64 (cbrt x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 0))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ 1/3 (pow x 2/3))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* x (- (* 1/3 (/ 1 (pow x 5/3))) (* 1/9 (/ 1 (pow x 8/3)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (/ 1 (pow x 2/3)) (* 1/3 (/ 1 (pow x 5/3)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (/ -1/9 (pow x 8/3)) (+ (/ 1/3 (pow x 5/3)) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (/ -1/9 (pow x 8/3)) (+ (/ 1/3 (pow x 5/3)) (+ (/ 1 (pow x 2/3)) (* 5/81 (/ 1 (pow x 11/3)))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (* 1/3 (/ 1 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (+ (/ -1/9 (pow x 5/3)) (/ 1/3 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (pow x 4/3))) (pow x 3))) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -5/81 (pow x 7/3)) (* 1/9 (pow x 10/3))) (pow x 3))) (* 1/3 (pow x 4/3))) (pow x 3))) (/ 1 (pow x 2/3)))))))
Outputs
(neg.f64 (-.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (cbrt.f64 x) #s(literal -1 binary64) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) x)
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 x (pow.f64 x #s(literal -2/3 binary64)))
(pow.f64 x #s(literal 1/3 binary64))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 x (pow.f64 x #s(literal 2/3 binary64)))
(cbrt.f64 x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) (cbrt.f64 x)))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)))
#s(approx (cbrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)))
#s(approx (cbrt (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (cbrt x) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 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 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64))) x))
#s(approx (cbrt (+ x 1)) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) x (cbrt.f64 x)))
#s(approx (cbrt (+ x 1)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64))) x (cbrt.f64 x)))
#s(approx (cbrt (+ x 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (fma.f64 (pow.f64 x #s(literal -11/3 binary64)) #s(literal 5/81 binary64) (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))) x))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (+.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) x)) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (+.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) x)) x))
#s(approx (cbrt (+ x 1)) (*.f64 (+.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 (*.f64 x x) x))) x))
#s(approx (cbrt (+ x 1)) (*.f64 (-.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 10/3 binary64)) #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 7/3 binary64)) #s(literal -5/81 binary64))) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x))) x))

eval6.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 338 to 191 computations (43.5% saved)

prune5.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New45651
Fresh000
Picked101
Done000
Total46652
Accuracy
90.2%
Counts
52 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(-.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))) (cbrt.f64 x))
8.8%
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
54.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64))) x))
88.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
4.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 binary64))
Compiler

Compiled 110 to 110 computations (0% saved)

series15.0ms (0.5%)

Memory
-23.6MiB live, 18.6MiB allocated; 5ms collecting garbage
Counts
20 → 23
Calls
Call 1
Inputs
#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)) #s(literal 0 binary64))
#s(literal 0 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))
#s(literal -1 binary64)
(cbrt.f64 x)
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/3 binary64))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (* (pow x -2/3) 1/3) #s(hole binary64 (/ 1/3 (pow x 2/3))))
#s(approx (pow x -2/3) #s(hole binary64 (/ 1 (pow x 2/3))))
#s(approx x #s(hole binary64 x))
#s(approx (cbrt (- x -1)) #s(hole binary64 1))
#s(approx (cbrt (- x -1)) #s(hole binary64 (+ 1 (* 1/3 x))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* -1/9 x))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (cbrt x) #s(hole binary64 (cbrt x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 0))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* x (- (* 1/3 (/ 1 (pow x 5/3))) (* 1/9 (/ 1 (pow x 8/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* x (+ (/ 1 (pow x 2/3)) (* 1/3 (/ 1 (pow x 5/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* x (+ (/ -1/9 (pow x 8/3)) (+ (/ 1/3 (pow x 5/3)) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* x (+ (/ -1/9 (pow x 8/3)) (+ (/ 1/3 (pow x 5/3)) (+ (/ 1 (pow x 2/3)) (* 5/81 (/ 1 (pow x 11/3)))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (* 1/3 (/ 1 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (+ (/ -1/9 (pow x 5/3)) (/ 1/3 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (pow x 4/3))) (pow x 3))) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -5/81 (pow x 7/3)) (* 1/9 (pow x 10/3))) (pow x 3))) (* 1/3 (pow x 4/3))) (pow x 3))) (/ 1 (pow x 2/3)))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@0
((- (cbrt (+ x 1)) (cbrt x)) (* (pow x -2/3) 1/3) (pow x -2/3) x -2/3 1/3 (- (cbrt (+ x 1)) (cbrt x)) 0 (- (cbrt (- x -1)) (cbrt x)) (cbrt (- x -1)) (- x -1) -1 (cbrt x) (- (pow (- x -1) 1/3) (cbrt x)) (pow (- x -1) 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) 1 (pow x 1/3))
3.0ms
x
@-inf
((- (cbrt (+ x 1)) (cbrt x)) (* (pow x -2/3) 1/3) (pow x -2/3) x -2/3 1/3 (- (cbrt (+ x 1)) (cbrt x)) 0 (- (cbrt (- x -1)) (cbrt x)) (cbrt (- x -1)) (- x -1) -1 (cbrt x) (- (pow (- x -1) 1/3) (cbrt x)) (pow (- x -1) 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) 1 (pow x 1/3))
3.0ms
x
@inf
((- (cbrt (+ x 1)) (cbrt x)) (* (pow x -2/3) 1/3) (pow x -2/3) x -2/3 1/3 (- (cbrt (+ x 1)) (cbrt x)) 0 (- (cbrt (- x -1)) (cbrt x)) (cbrt (- x -1)) (- x -1) -1 (cbrt x) (- (pow (- x -1) 1/3) (cbrt x)) (pow (- x -1) 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) 1 (pow x 1/3))

rewrite176.0ms (6%)

Memory
30.7MiB live, 125.4MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014642949673188
0164487
1947456
08308424
128681424
Stop Event
saturated
node-limit
iter-limit
Counts
43 → 126
Calls
Call 1
Inputs
#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)) #s(literal 0 binary64))
#s(literal 0 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))
#s(literal -1 binary64)
(cbrt.f64 x)
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/3 binary64))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (* (pow x -2/3) 1/3) #s(hole binary64 (/ 1/3 (pow x 2/3))))
#s(approx (pow x -2/3) #s(hole binary64 (/ 1 (pow x 2/3))))
#s(approx x #s(hole binary64 x))
#s(approx (cbrt (- x -1)) #s(hole binary64 1))
#s(approx (cbrt (- x -1)) #s(hole binary64 (+ 1 (* 1/3 x))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* -1/9 x))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (cbrt x) #s(hole binary64 (cbrt x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 0))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* x (- (* 1/3 (/ 1 (pow x 5/3))) (* 1/9 (/ 1 (pow x 8/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* x (+ (/ 1 (pow x 2/3)) (* 1/3 (/ 1 (pow x 5/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* x (+ (/ -1/9 (pow x 8/3)) (+ (/ 1/3 (pow x 5/3)) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* x (+ (/ -1/9 (pow x 8/3)) (+ (/ 1/3 (pow x 5/3)) (+ (/ 1 (pow x 2/3)) (* 5/81 (/ 1 (pow x 11/3)))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (* 1/3 (/ 1 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (+ (/ -1/9 (pow x 5/3)) (/ 1/3 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (pow x 4/3))) (pow x 3))) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -5/81 (pow x 7/3)) (* 1/9 (pow x 10/3))) (pow x 3))) (* 1/3 (pow x 4/3))) (pow x 3))) (/ 1 (pow x 2/3)))))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 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 -2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 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 binary64) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (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 #s(literal -2/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -2/3 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(neg.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -2/3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (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) (pow.f64 x #s(literal 2/3 binary64)))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(fabs.f64 (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)) #s(literal 0 binary64))
#s(literal 0 binary64)
(neg.f64 (-.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))
(+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))
(neg.f64 (cbrt.f64 (-.f64 #s(literal -1 binary64) x)))
(cbrt.f64 (-.f64 x #s(literal -1 binary64)))
(fabs.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) x)
(*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 x (pow.f64 x #s(literal -2/3 binary64)))
(pow.f64 x #s(literal 1/3 binary64))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 x (pow.f64 x #s(literal 2/3 binary64)))
(neg.f64 (neg.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(fabs.f64 (cbrt.f64 x))
(neg.f64 (-.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))
(+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))
(neg.f64 (cbrt.f64 (-.f64 #s(literal -1 binary64) x)))
(cbrt.f64 (-.f64 x #s(literal -1 binary64)))
(fabs.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))))
(neg.f64 (-.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))
(+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))
(neg.f64 (cbrt.f64 (-.f64 #s(literal -1 binary64) x)))
(cbrt.f64 (-.f64 x #s(literal -1 binary64)))
(fabs.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) x)
(*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 x (pow.f64 x #s(literal -2/3 binary64)))
(pow.f64 x #s(literal 1/3 binary64))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 x (pow.f64 x #s(literal 2/3 binary64)))
(neg.f64 (neg.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(fabs.f64 (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) (cbrt.f64 x)))
#s(approx (* (pow x -2/3) 1/3) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (pow x -2/3) (pow.f64 x #s(literal -2/3 binary64)))
#s(approx x x)
#s(approx (cbrt (- x -1)) #s(literal 1 binary64))
#s(approx (cbrt (- x -1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)))
#s(approx (cbrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)))
#s(approx (cbrt (- x -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (cbrt x) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 binary64))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64))) x))
#s(approx (cbrt (- x -1)) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) x (cbrt.f64 x)))
#s(approx (cbrt (- x -1)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64))) x (cbrt.f64 x)))
#s(approx (cbrt (- x -1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (fma.f64 (pow.f64 x #s(literal -11/3 binary64)) #s(literal 5/81 binary64) (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))) x))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (-.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64) (cbrt.f64 x)) x)) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (-.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (-.f64 (cbrt.f64 x) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64))))) x)) x))
#s(approx (cbrt (- x -1)) (*.f64 (+.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 (*.f64 x x) x))) x))
#s(approx (cbrt (- x -1)) (*.f64 (-.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 10/3 binary64)) #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 7/3 binary64)) #s(literal -5/81 binary64))) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x))) x))

eval14.0ms (0.5%)

Memory
-28.2MiB live, 16.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 540 to 312 computations (42.2% saved)

prune5.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New92496
Fresh101
Picked145
Done000
Total948102
Accuracy
90.2%
Counts
102 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
8.8%
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
7.9%
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))
88.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
54.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64))) x))
88.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
88.1%
#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)))
4.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 binary64))
Compiler

Compiled 79 to 79 computations (0% saved)

series75.0ms (2.6%)

Memory
8.0MiB live, 96.7MiB allocated; 15ms collecting garbage
Counts
24 → 28
Calls
Call 1
Inputs
#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)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
#s(literal 1 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 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64))) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64))) x)
(fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)))
(pow.f64 x #s(literal -5/3 binary64))
#s(literal -5/3 binary64)
(*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64))
(pow.f64 x #s(literal -8/3 binary64))
#s(literal -8/3 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))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(cbrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(pow.f64 x #s(literal 1/3 binary64))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (* (/ 1 (pow x 2/3)) 1/3) #s(hole binary64 (/ 1/3 (pow x 2/3))))
#s(approx (/ 1 (pow x 2/3)) #s(hole binary64 (/ 1 (pow x 2/3))))
#s(approx (pow x 2/3) #s(hole binary64 (pow x 2/3)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (pow x -5/3) 1/3) (* (pow x -8/3) -1/9)) x) #s(hole binary64 (* x (- (* 1/3 (/ 1 (pow x 5/3))) (* 1/9 (/ 1 (pow x 8/3)))))))
#s(approx (+ (* (pow x -5/3) 1/3) (* (pow x -8/3) -1/9)) #s(hole binary64 (- (* 1/3 (/ 1 (pow x 5/3))) (* 1/9 (/ 1 (pow x 8/3))))))
#s(approx (pow x -5/3) #s(hole binary64 (/ 1 (pow x 5/3))))
#s(approx (* (pow x -8/3) -1/9) #s(hole binary64 (/ -1/9 (pow x 8/3))))
#s(approx (pow x -8/3) #s(hole binary64 (/ 1 (pow x 8/3))))
#s(approx (cbrt (- x -1)) #s(hole binary64 1))
#s(approx (cbrt (- x -1)) #s(hole binary64 (+ 1 (* 1/3 x))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* -1/9 x))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (pow x 1/3) #s(hole binary64 (cbrt x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 0))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* x (+ (/ 1 (pow x 2/3)) (* 1/3 (/ 1 (pow x 5/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* x (+ (/ -1/9 (pow x 8/3)) (+ (/ 1/3 (pow x 5/3)) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* x (+ (/ -1/9 (pow x 8/3)) (+ (/ 1/3 (pow x 5/3)) (+ (/ 1 (pow x 2/3)) (* 5/81 (/ 1 (pow x 11/3)))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (* 1/3 (/ 1 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (+ (/ -1/9 (pow x 5/3)) (/ 1/3 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (pow x 4/3))) (pow x 3))) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -5/81 (pow x 7/3)) (* 1/9 (pow x 10/3))) (pow x 3))) (* 1/3 (pow x 4/3))) (pow x 3))) (/ 1 (pow x 2/3)))))))
Calls

3 calls:

TimeVariablePointExpression
48.0ms
x
@0
((- (cbrt (+ x 1)) (cbrt x)) (* (/ 1 (pow x 2/3)) 1/3) (/ 1 (pow x 2/3)) 1 (pow x 2/3) x 2/3 1/3 (- (cbrt (+ x 1)) (cbrt x)) (* (+ (* (pow x -5/3) 1/3) (* (pow x -8/3) -1/9)) x) (+ (* (pow x -5/3) 1/3) (* (pow x -8/3) -1/9)) (pow x -5/3) -5/3 (* (pow x -8/3) -1/9) (pow x -8/3) -8/3 -1/9 (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow x 2/3)) (- (cbrt (- x -1)) (pow x 1/3)) (cbrt (- x -1)) (- x -1) -1 (pow x 1/3))
15.0ms
x
@inf
((- (cbrt (+ x 1)) (cbrt x)) (* (/ 1 (pow x 2/3)) 1/3) (/ 1 (pow x 2/3)) 1 (pow x 2/3) x 2/3 1/3 (- (cbrt (+ x 1)) (cbrt x)) (* (+ (* (pow x -5/3) 1/3) (* (pow x -8/3) -1/9)) x) (+ (* (pow x -5/3) 1/3) (* (pow x -8/3) -1/9)) (pow x -5/3) -5/3 (* (pow x -8/3) -1/9) (pow x -8/3) -8/3 -1/9 (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow x 2/3)) (- (cbrt (- x -1)) (pow x 1/3)) (cbrt (- x -1)) (- x -1) -1 (pow x 1/3))
11.0ms
x
@-inf
((- (cbrt (+ x 1)) (cbrt x)) (* (/ 1 (pow x 2/3)) 1/3) (/ 1 (pow x 2/3)) 1 (pow x 2/3) x 2/3 1/3 (- (cbrt (+ x 1)) (cbrt x)) (* (+ (* (pow x -5/3) 1/3) (* (pow x -8/3) -1/9)) x) (+ (* (pow x -5/3) 1/3) (* (pow x -8/3) -1/9)) (pow x -5/3) -5/3 (* (pow x -8/3) -1/9) (pow x -8/3) -8/3 -1/9 (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow x 2/3)) (- (cbrt (- x -1)) (pow x 1/3)) (cbrt (- x -1)) (- x -1) -1 (pow x 1/3))

rewrite205.0ms (7%)

Memory
-0.1MiB live, 183.1MiB allocated; 78ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016147244640593
0183586
11008551
08308522
128079522
Stop Event
saturated
node-limit
iter-limit
Counts
52 → 212
Calls
Call 1
Inputs
#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)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
#s(literal 1 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 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64))) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64))) x)
(fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)))
(pow.f64 x #s(literal -5/3 binary64))
#s(literal -5/3 binary64)
(*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64))
(pow.f64 x #s(literal -8/3 binary64))
#s(literal -8/3 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))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(cbrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(pow.f64 x #s(literal 1/3 binary64))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (* (/ 1 (pow x 2/3)) 1/3) #s(hole binary64 (/ 1/3 (pow x 2/3))))
#s(approx (/ 1 (pow x 2/3)) #s(hole binary64 (/ 1 (pow x 2/3))))
#s(approx (pow x 2/3) #s(hole binary64 (pow x 2/3)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (pow x -5/3) 1/3) (* (pow x -8/3) -1/9)) x) #s(hole binary64 (* x (- (* 1/3 (/ 1 (pow x 5/3))) (* 1/9 (/ 1 (pow x 8/3)))))))
#s(approx (+ (* (pow x -5/3) 1/3) (* (pow x -8/3) -1/9)) #s(hole binary64 (- (* 1/3 (/ 1 (pow x 5/3))) (* 1/9 (/ 1 (pow x 8/3))))))
#s(approx (pow x -5/3) #s(hole binary64 (/ 1 (pow x 5/3))))
#s(approx (* (pow x -8/3) -1/9) #s(hole binary64 (/ -1/9 (pow x 8/3))))
#s(approx (pow x -8/3) #s(hole binary64 (/ 1 (pow x 8/3))))
#s(approx (cbrt (- x -1)) #s(hole binary64 1))
#s(approx (cbrt (- x -1)) #s(hole binary64 (+ 1 (* 1/3 x))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* -1/9 x))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (pow x 1/3) #s(hole binary64 (cbrt x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 0))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* x (+ (/ 1 (pow x 2/3)) (* 1/3 (/ 1 (pow x 5/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* x (+ (/ -1/9 (pow x 8/3)) (+ (/ 1/3 (pow x 5/3)) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* x (+ (/ -1/9 (pow x 8/3)) (+ (/ 1/3 (pow x 5/3)) (+ (/ 1 (pow x 2/3)) (* 5/81 (/ 1 (pow x 11/3)))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (* 1/3 (/ 1 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (+ (/ -1/9 (pow x 5/3)) (/ 1/3 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (pow x 4/3))) (pow x 3))) (/ 1 (pow x 2/3)))))))
#s(approx (cbrt (- x -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -5/81 (pow x 7/3)) (* 1/9 (pow x 10/3))) (pow x 3))) (* 1/3 (pow x 4/3))) (pow x 3))) (/ 1 (pow x 2/3)))))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #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 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 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 binary64) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal -2/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -2/3 binary64) (*.f64 #s(literal 2 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 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -2/3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)) (cbrt.f64 x))
(*.f64 (fabs.f64 (neg.f64 (cbrt.f64 x))) (fabs.f64 (neg.f64 (cbrt.f64 x))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1/3 binary64))
(pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2/3 binary64))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(cbrt.f64 (*.f64 x x))
(fabs.f64 (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 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64))) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64))) x)
(*.f64 x (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/3 binary64))) x))
(neg.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 x (pow.f64 x #s(literal -8/3 binary64))) #s(literal -1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 x (pow.f64 x #s(literal -5/3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) x (*.f64 (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) x (*.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 #s(literal -1/9 binary64) x) (pow.f64 x #s(literal -8/3 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -5/3 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) x))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) x) (*.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal -8/3 binary64)) (*.f64 #s(literal -1/9 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) x))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x) (*.f64 (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) x))
(fma.f64 x (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) x))
(fma.f64 x (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) x))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) x) (*.f64 (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) x))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) x) (*.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 8/3 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64))) #s(literal 1/9 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64))) (neg.f64 (pow.f64 x #s(literal 8/3 binary64)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 8/3 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64))) #s(literal -1/9 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64))) (pow.f64 x #s(literal 8/3 binary64))))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal 8/3 binary64))) (*.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (pow.f64 x #s(literal 5/3 binary64)) (neg.f64 (pow.f64 x #s(literal 8/3 binary64)))))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 8/3 binary64)) (*.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1/9 binary64))) (*.f64 (pow.f64 x #s(literal 5/3 binary64)) (pow.f64 x #s(literal 8/3 binary64))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (neg.f64 (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 8/3 binary64))) #s(literal -1/3 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 8/3 binary64))) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 5/3 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 8/3 binary64))) #s(literal 1/3 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 8/3 binary64))) (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 (fma.f64 #s(literal -1/9 binary64) (neg.f64 (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal 8/3 binary64)) #s(literal -1/3 binary64))) (*.f64 (pow.f64 x #s(literal 8/3 binary64)) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))))
(/.f64 (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 5/3 binary64)) (*.f64 (pow.f64 x #s(literal 8/3 binary64)) #s(literal 1/3 binary64))) (*.f64 (pow.f64 x #s(literal 8/3 binary64)) (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 8/3 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64))) #s(literal 1/9 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64))) (pow.f64 x #s(literal 8/3 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 8/3 binary64))) (*.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (pow.f64 x #s(literal 5/3 binary64)) (pow.f64 x #s(literal 8/3 binary64))))
(neg.f64 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -8/3 binary64))) #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)))
(fma.f64 #s(literal 1/9 binary64) (neg.f64 (pow.f64 x #s(literal -8/3 binary64))) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -8/3 binary64)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal 8/3 binary64)))) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64)) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal 1/9 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -5/3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5/3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/3 binary64)))
(pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -5/3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5/3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/3 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -5/3 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5/3 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))))
(fabs.f64 (pow.f64 x #s(literal -5/3 binary64)))
#s(literal -5/3 binary64)
(*.f64 (neg.f64 (pow.f64 x #s(literal -8/3 binary64))) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (neg.f64 (pow.f64 x #s(literal -8/3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -8/3 binary64)))
(*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal 8/3 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)))
(/.f64 #s(literal 1/9 binary64) (neg.f64 (pow.f64 x #s(literal 8/3 binary64))))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 8/3 binary64)))))
(/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 8/3 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -8/3 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8/3 binary64)))
(pow.f64 (pow.f64 x #s(literal 8/3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -8/3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 8/3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 8/3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8/3 binary64)))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -8/3 binary64))))
(fabs.f64 (pow.f64 x #s(literal -8/3 binary64)))
#s(literal -8/3 binary64)
#s(literal -1/9 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #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 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 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 binary64) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal -2/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -2/3 binary64) (*.f64 #s(literal 2 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 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64)))
(neg.f64 (-.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))
(+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))
(neg.f64 (cbrt.f64 (-.f64 #s(literal -1 binary64) x)))
(cbrt.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) x)
(*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 x (pow.f64 x #s(literal -2/3 binary64)))
(pow.f64 x #s(literal 1/3 binary64))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 x (pow.f64 x #s(literal 2/3 binary64)))
(neg.f64 (neg.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(fabs.f64 (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) (cbrt.f64 x)))
#s(approx (* (/ 1 (pow x 2/3)) 1/3) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (pow x 2/3)) (pow.f64 x #s(literal -2/3 binary64)))
#s(approx (pow x 2/3) (pow.f64 x #s(literal 2/3 binary64)))
#s(approx x x)
#s(approx (* (+ (* (pow x -5/3) 1/3) (* (pow x -8/3) -1/9)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64))) x))
#s(approx (+ (* (pow x -5/3) 1/3) (* (pow x -8/3) -1/9)) (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (pow x -5/3) (pow.f64 x #s(literal -5/3 binary64)))
#s(approx (* (pow x -8/3) -1/9) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64)))
#s(approx (pow x -8/3) (pow.f64 x #s(literal -8/3 binary64)))
#s(approx (cbrt (- x -1)) #s(literal 1 binary64))
#s(approx (cbrt (- x -1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)))
#s(approx (cbrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)))
#s(approx (cbrt (- x -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (pow x 1/3) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 binary64))
#s(approx (cbrt (- x -1)) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64)) x (cbrt.f64 x)))
#s(approx (cbrt (- x -1)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64))) x (cbrt.f64 x)))
#s(approx (cbrt (- x -1)) (*.f64 (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -8/3 binary64)) (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal -11/3 binary64)) #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) x))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (-.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64) (cbrt.f64 x)) x)) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (-.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (-.f64 (cbrt.f64 x) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64))))) x)) x))
#s(approx (cbrt (- x -1)) (*.f64 (+.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 (*.f64 x x) x))) x))
#s(approx (cbrt (- x -1)) (*.f64 (-.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 10/3 binary64)) #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 7/3 binary64)) #s(literal -5/81 binary64))) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x))) x))

eval18.0ms (0.6%)

Memory
26.6MiB live, 26.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 241 to 701 computations (43.5% saved)

prune40.0ms (1.4%)

Memory
-41.5MiB live, 22.1MiB allocated; 10ms collecting garbage
Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New1778185
Fresh000
Picked044
Done044
Total17716193
Accuracy
98.5%
Counts
193 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
8.8%
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
7.9%
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))
95.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
95.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
88.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
46.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
54.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64))) x))
88.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
95.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64)))
95.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
88.1%
#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)))
46.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64)))
95.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))
95.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64)))
4.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 binary64))
Compiler

Compiled 289 to 279 computations (3.5% saved)

series12.0ms (0.4%)

Memory
23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Counts
22 → 16
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))
#s(literal 1/3 binary64)
(cbrt.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
(cbrt.f64 (*.f64 x x))
(*.f64 x x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (/.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)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (/.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)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (/ (/ 1/3 (cbrt x)) (cbrt x)) #s(hole binary64 (/ 1/3 (pow x 2/3))))
#s(approx (/ 1/3 (cbrt x)) #s(hole binary64 (/ 1/3 (cbrt x))))
#s(approx (cbrt x) #s(hole binary64 (cbrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (cbrt (* x x)) #s(hole binary64 (pow x 2/3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ 1 (cbrt x)) (cbrt x)) #s(hole binary64 (/ 1 (pow x 2/3))))
#s(approx (/ 1 (cbrt x)) #s(hole binary64 (/ 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 0))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* x (- (* 1/3 (/ 1 (pow x 5/3))) (* 1/9 (/ 1 (pow x 8/3)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (* 1/3 (/ 1 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (+ (/ -1/9 (pow x 5/3)) (/ 1/3 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
Calls

3 calls:

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

rewrite291.0ms (10%)

Memory
10.9MiB live, 140.9MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010025769804043
0122388
1596330
24883330
08297322
127260322
Stop Event
saturated
node-limit
iter-limit
Counts
38 → 398
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))
#s(literal 1/3 binary64)
(cbrt.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
(cbrt.f64 (*.f64 x x))
(*.f64 x x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (/.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)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (/.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)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))))
#s(approx (/ (/ 1/3 (cbrt x)) (cbrt x)) #s(hole binary64 (/ 1/3 (pow x 2/3))))
#s(approx (/ 1/3 (cbrt x)) #s(hole binary64 (/ 1/3 (cbrt x))))
#s(approx (cbrt x) #s(hole binary64 (cbrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (cbrt (* x x)) #s(hole binary64 (pow x 2/3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ 1 (cbrt x)) (cbrt x)) #s(hole binary64 (/ 1 (pow x 2/3))))
#s(approx (/ 1 (cbrt x)) #s(hole binary64 (/ 1 (cbrt x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 0))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* x (- (* 1/3 (/ 1 (pow x 5/3))) (* 1/9 (/ 1 (pow x 8/3)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (* 1/3 (/ 1 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1 (cbrt x)) (+ (/ -1/9 (pow x 5/3)) (/ 1/3 (pow x 2/3)))) x)) (/ 1 (pow x 2/3)))))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (fabs.f64 (pow.f64 x #s(literal -1/3 binary64)))) (fabs.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/3 binary64))) (*.f64 (fabs.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 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 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 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))
(/.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 x))) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (cbrt.f64 x))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 x)))
(/.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal -2/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -2/3 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (neg.f64 (neg.f64 (cbrt.f64 x))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(neg.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #s(literal 1 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 -1/3 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (cbrt.f64 x)))
(/.f64 #s(literal -2/3 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal -2/3 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (cbrt.f64 x))))
(/.f64 #s(literal 2/3 binary64) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (cbrt.f64 x))))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)))
#s(literal 1/3 binary64)
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(pow.f64 x #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 x)) #s(literal 2 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 (*.f64 #s(literal 1/3 binary64) (fabs.f64 (pow.f64 x #s(literal -1/3 binary64)))) (fabs.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/3 binary64))) (*.f64 (fabs.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 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 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 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))
(/.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 x))) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (cbrt.f64 x))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 x)))
(/.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal -2/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -2/3 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (neg.f64 (neg.f64 (cbrt.f64 x))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(neg.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)) (cbrt.f64 x))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (neg.f64 (neg.f64 (cbrt.f64 x))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(*.f64 (cbrt.f64 (fabs.f64 x)) (cbrt.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
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(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (cbrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
#s(literal 1 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (fabs.f64 (pow.f64 x #s(literal -1/3 binary64)))) (fabs.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/3 binary64))) (*.f64 (fabs.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 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 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 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))
(/.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 x))) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (cbrt.f64 x))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 x)))
(/.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal -2/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -2/3 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (neg.f64 (neg.f64 (cbrt.f64 x))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))))
(neg.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(neg.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (fabs.f64 (fabs.f64 (pow.f64 x #s(literal -1/3 binary64)))) (fabs.f64 (fabs.f64 (pow.f64 x #s(literal -1/3 binary64)))))
(*.f64 (neg.f64 (fabs.f64 (pow.f64 x #s(literal -1/3 binary64)))) (neg.f64 (fabs.f64 (pow.f64 x #s(literal -1/3 binary64)))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/3 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (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 -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(pow.f64 (*.f64 (fabs.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (cbrt.f64 (fabs.f64 x))) #s(literal -2 binary64))
(pow.f64 (neg.f64 (cbrt.f64 (fabs.f64 x))) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) #s(literal -2 binary64))
(pow.f64 (fabs.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fabs.f64 x)) #s(literal -2 binary64))
(pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -2/3 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 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 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 x))))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64))))
(neg.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 x)))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -2/3 binary64))))
(-.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 x #s(literal -2/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) (cbrt.f64 x)))
#s(approx (/ (/ 1/3 (cbrt x)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (/ 1/3 (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))
#s(approx (cbrt x) (cbrt.f64 x))
#s(approx x x)
#s(approx (cbrt (* x x)) (pow.f64 x #s(literal 2/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (/ 1 (cbrt x)) (cbrt x)) (pow.f64 x #s(literal -2/3 binary64)))
#s(approx (/ 1 (cbrt x)) (pow.f64 x #s(literal -1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 binary64))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64))) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (+.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) x)) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (+.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) x)) x))

eval93.0ms (3.2%)

Memory
-45.8MiB live, 40.2MiB allocated; 125ms collecting garbage
Compiler

Compiled 1 349 to 751 computations (44.3% saved)

prune22.0ms (0.7%)

Memory
-16.5MiB live, 32.6MiB allocated; 13ms collecting garbage
Pruning

19 alts after pruning (6 fresh and 13 done)

PrunedKeptTotal
New2033206
Fresh033
Picked055
Done088
Total20319222
Accuracy
98.6%
Counts
222 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
8.8%
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
7.9%
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))
95.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
95.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
88.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
68.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (pow.f64 x #s(literal 4/3 binary64)))))
46.0%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))))
46.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
54.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64))) x))
95.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
88.1%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
95.7%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64)))
95.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
88.1%
#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)))
46.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64)))
95.8%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))
95.6%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64)))
4.2%
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 binary64))
Compiler

Compiled 348 to 303 computations (12.9% saved)

regimes12.0ms (0.4%)

Memory
30.3MiB live, 30.3MiB allocated; 0ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 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 (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (pow.f64 x #s(literal 4/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))
(-.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))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64))) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -8/3 binary64)) #s(literal -1/9 binary64))) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
Calls

2 calls:

6.0ms
x
4.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
95.8%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
95.8%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.2%)

Memory
-34.8MiB live, 11.6MiB allocated; 2ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 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 (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (pow.f64 x #s(literal 4/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
Calls

2 calls:

4.0ms
x
2.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
91.0%2x
88.1%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 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 (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (pow.f64 x #s(literal 4/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (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 x x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
91.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
7.2MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 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 (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (pow.f64 x #s(literal 4/3 binary64)))))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
88.1%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
88.1%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 binary64))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
88.1%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
88.1%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 binary64))
Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
Results
AccuracySegmentsBranch
4.2%1(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
4.2%1x
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch19.0ms (0.6%)

Memory
-18.8MiB live, 26.5MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
6.218788879415561e+153
2.155304568328066e+157
Samples
12.0ms128×1valid
Compiler

Compiled 202 to 218 computations (-7.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cbrt: 3.0ms (43.4% of total)
adjust: 2.0ms (29% of total)
ival-sub!: 1.0ms (14.5% of total)
ival-add!: 1.0ms (14.5% of total)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
6.218788879415561e+153
2.155304568328066e+157
Compiler

Compiled 186 to 202 computations (-8.6% saved)

derivations325.0ms (11.1%)

Memory
20.5MiB live, 161.8MiB allocated; 22ms collecting garbage
Stop Event
fuel
Compiler

Compiled 42 to 34 computations (19% saved)

preprocess87.0ms (3%)

Memory
6.1MiB live, 102.6MiB allocated; 17ms collecting garbage
Compiler

Compiled 68 to 51 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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