Metrics for 2cbrt (problem 3.3.4)

analyze2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
75%	18.7%	6.2%	75%	0%	0%	0%	3
87.5%	21.9%	3.1%	75%	0%	0%	0%	4
93.8%	23.4%	1.6%	75%	0%	0%	0%	5
96.9%	24.2%	0.8%	75%	0%	0%	0%	6
98.4%	24.6%	0.4%	75%	0%	0%	0%	7
99.2%	24.8%	0.2%	75%	0%	0%	0%	8
99.6%	24.9%	0.1%	75%	0%	0%	0%	9
99.8%	24.9%	0%	75%	0%	0%	0%	10
99.9%	25%	0%	75%	0%	0%	0%	11
100%	25%	0%	75%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (15.8%)

Memory

-89.5MiB live, 1 697.9MiB allocated

Samples

779.0ms	6 326×	1	valid
271.0ms	1 677×	2	valid
15.0ms	253×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 842.0ms

ival-cbrt: 259.0ms (30.8% of total)

adjust: 174.0ms (20.7% of total)

ival-add: 155.0ms (18.4% of total)

const: 116.0ms (13.8% of total)

ival-sub: 77.0ms (9.1% of total)

ival->: 24.0ms (2.9% of total)

ival-<: 18.0ms (2.1% of total)

ival-and: 11.0ms (1.3% of total)

exact: 7.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess25.0ms (0.2%)

Memory

-4.3MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
46×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Outputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

explain110.0ms (1.1%)

Memory

11.1MiB live, 168.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(cbrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(cbrt.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`	cancellation	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

37.0ms	386×	1	valid
19.0ms	118×	2	valid
0.0ms	8×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-cbrt: 16.0ms (42.7% of total)

adjust: 10.0ms (26.7% of total)

ival-add: 6.0ms (16% of total)

ival-sub: 5.0ms (13.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.9%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(cbrt.f64 x)
✓	cost-diff	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(cbrt.f64 x)

Outputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(cbrt.f64 x)

localize41.0ms (0.4%)

Memory

-22.0MiB live, 57.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	99.2%	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	6.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Samples

18.0ms	193×	1	valid
8.0ms	59×	2	valid
0.0ms	4×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-cbrt: 7.0ms (40.6% of total)

adjust: 5.0ms (29% of total)

ival-add: 3.0ms (17.4% of total)

ival-sub: 2.0ms (11.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(- (cbrt (+ x 1)) (cbrt x))
3.0ms	x	@	inf	(- (cbrt (+ x 1)) (cbrt x))
1.0ms	x	@	0	(cbrt x)
1.0ms	x	@	-inf	(cbrt x)
1.0ms	x	@	inf	(cbrt x)

simplify232.0ms (2.3%)

Memory

23.4MiB live, 332.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 306×	`lower-fma.f64`
6 306×	`lower-fma.f32`
4 226×	`lower-*.f64`
4 226×	`lower-*.f32`
1 638×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	602
1	350	564
2	900	564
3	2613	561
4	5976	561
0	8122	528

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

Inputs
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))

Outputs
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 x (.f64 x x)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))))
(* -1 (* (cbrt x) (cbrt -1)))
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(-.f64 (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 x x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(fma.f64 x (neg.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 x (.f64 x x)))) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (* (cbrt x) (cbrt -1)))
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))

rewrite285.0ms (2.8%)

Memory

-53.3MiB live, 456.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 430×	`lower-fma.f64`
5 430×	`lower-fma.f32`
2 846×	`lower-*.f64`
2 846×	`lower-*.f32`
2 158×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	43	16
2	282	16
3	3101	16
0	9092	16

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 357

Calls

Call 1

Inputs
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(cbrt.f64 x)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64)))
(+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
(-.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (cbrt.f64 x))
(fma.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 x) #s(literal -1 binary64) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x)))
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(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x x)))) (exp.f64 (log1p.f64 (fma.f64 x x x))))
(/.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))) (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (exp.f64 (log1p.f64 (.f64 x (*.f64 x x)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 x x x)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))))
(.f64 (cbrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2/3 binary64)))
(cbrt.f64 x)
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1/9 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))

eval51.0ms (0.5%)

Memory: 14.9MiB live, 88.7MiB allocated
Compiler: Compiled 8 225 to 1 301 computations (84.2% saved)

prune82.0ms (0.8%)

Memory

-4.8MiB live, 154.3MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	379	24	403
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	379	25	404

Accuracy

51.2%

Counts

404 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.5%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
	7.1%	(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
	7.2%	(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x)))
▶	7.5%	(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
	4.8%	(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
	5.9%	(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
	7.2%	(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (cbrt.f64 x))
	4.3%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
▶	7.2%	(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
▶	5.8%	(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
	5.9%	(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
	6.1%	(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x))
	7.1%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
	7.1%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
	5.9%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
	7.1%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
	6.3%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
✓	5.9%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	5.3%	(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
	4.2%	(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
▶	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
	4.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	25.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (.f64 x x)))
	25.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
▶	49.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))

Compiler

Compiled 650 to 434 computations (33.2% saved)

simplify270.0ms (2.6%)

Memory

29.1MiB live, 343.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal 5/6 binary64))
✓	cost-diff	0	(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	128	(neg.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
✓	cost-diff	384	(+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
✓	cost-diff	1472	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(cbrt.f64 x)
✓	cost-diff	0	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))

Rules

9 862×	`lower-fma.f32`
9 856×	`lower-fma.f64`
2 362×	`lower-*.f32`
2 358×	`lower-*.f64`
1 592×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	226
0	66	217
1	101	214
2	183	214
3	379	205
4	763	205
5	1420	205
6	2845	205
7	4697	205
8	6329	205
9	7139	205
10	7704	205
0	8010	205

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
#s(literal 1/3 binary64)
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(cbrt.f64 x)
x
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
(cbrt.f64 x)
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)
(neg.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))
(pow.f64 x #s(literal 2/3 binary64))
(cbrt.f64 (fma.f64 x x x))
(fma.f64 x x x)
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 5/6 binary64))
x
#s(literal 5/6 binary64)
(pow.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(cbrt.f64 x)

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
#s(literal 1/3 binary64)
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(cbrt.f64 x)
x
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
(cbrt.f64 x)
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (fma.f64 x x x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
(+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)
#s(literal -1 binary64)
(neg.f64 (+.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
(-.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) (cbrt.f64 (fma.f64 x x x)))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))
(+.f64 (cbrt.f64 (fma.f64 x x x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))
(pow.f64 x #s(literal 2/3 binary64))
(cbrt.f64 (fma.f64 x x x))
(fma.f64 x x x)
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 5/6 binary64))
x
#s(literal 5/6 binary64)
(pow.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(cbrt.f64 x)

localize405.0ms (3.9%)

Memory

-15.3MiB live, 382.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	93.6%	(pow.f64 x #s(literal 1/6 binary64))
✓	accuracy	90.6%	(pow.f64 x #s(literal 5/6 binary64))
✓	accuracy	6.0%	(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
✓	accuracy	90.6%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
✓	accuracy	90.6%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	51.3%	(cbrt.f64 (fma.f64 x x x))
✓	accuracy	6.5%	(+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)
✓	accuracy	99.2%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	99.2%	(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
✓	accuracy	6.0%	(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	7.8%	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
✓	accuracy	6.0%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	98.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	accuracy	52.4%	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))

Samples

174.0ms	193×	1	valid
167.0ms	59×	2	valid
1.0ms	4×	0	valid

Compiler

Compiled 227 to 39 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

ival-pow: 131.0ms (46.6% of total)

ival-cbrt: 41.0ms (14.6% of total)

const: 34.0ms (12.1% of total)

adjust: 25.0ms (8.9% of total)

ival-add: 16.0ms (5.7% of total)

ival-mult: 9.0ms (3.2% of total)

ival-sub: 7.0ms (2.5% of total)

ival-div: 5.0ms (1.8% of total)

ival-neg: 4.0ms (1.4% of total)

ival-sqrt: 4.0ms (1.4% of total)

ival-fabs: 3.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series218.0ms (2.1%)

Memory

-3.8MiB live, 190.7MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (patch (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))) (patch (/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 x #s(literal 1 binary64))) (patch (neg.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 5/6 binary64)) (patch (pow.f64 x #s(literal 5/6 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
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#s(alt (* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/6) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/6) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/6) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/6) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())

Calls

69 calls:

Time	Variable		Point	Expression
42.0ms	x	@	0	(pow x 5/6)
35.0ms	x	@	inf	(/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x))))))
35.0ms	x	@	0	(pow x 1/6)
30.0ms	x	@	-inf	(pow x 5/6)
7.0ms	x	@	-inf	(pow x 1/6)

simplify392.0ms (3.8%)

Memory

6.3MiB live, 360.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 602×	`lower-fma.f64`
6 602×	`lower-fma.f32`
5 810×	`lower-*.f64`
5 810×	`lower-*.f32`
2 488×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	524	4978
1	1417	4766
2	5097	4684
0	8287	4521

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 272

Calls

Call 1

Inputs
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* -1 (* x (- (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (cbrt (* x (pow (sqrt -1) 2))))
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4))))))))
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3))))))
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3))))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))
(+ (* -2/3 (/ x (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 4/81 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (+ (* 2/27 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))) (* 2/3 (/ (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))))) (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (pow x 6))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (pow x 9))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) x)
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/9 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* (pow x 3) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))))) (pow x 3))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* -1 (* x (- (cbrt (/ (cbrt -1) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (cbrt (* x (cbrt -1))))
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2))))))))
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3))))))
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (cbrt -1)))
(* -1 (* x (- (cbrt -1) (/ 1 x))))
(* -1 (* x (- (cbrt -1) (/ 1 x))))
(* -1 (* x (- (cbrt -1) (/ 1 x))))
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(pow (* 1 (pow x 5)) 1/6)
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
1
(+ 1 (* 2/3 x))
(+ 1 (* x (+ 2/3 (* -1/9 x))))
(+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(pow (* 1 x) 1/6)
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))

Outputs
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 x (.f64 x x)))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (/.f64 (.f64 #s(literal 10/243 binary64) (cbrt.f64 (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64)))) (.f64 x (.f64 x x))) (neg.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (.f64 x (.f64 x x)))) (*.f64 x x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
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(cbrt x)
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(.f64 (neg.f64 x) (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 x (.f64 x x))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(.f64 x (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(.f64 x (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))))) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 8 binary64)))) (/.f64 #s(literal -5/81 binary64) (.f64 x (.f64 x x))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (.f64 #s(literal -1/9 binary64) (cbrt.f64 #s(literal -1 binary64))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(pow (* 1 x) 1/6)
(pow.f64 x #s(literal 1/6 binary64))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))

rewrite546.0ms (5.3%)

Memory

3.8MiB live, 435.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 740×	`lower-fma.f32`
11 734×	`lower-fma.f64`
3 992×	`lower-*.f32`
3 988×	`lower-*.f64`
3 206×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	161
0	66	137
1	270	124
2	1798	124
0	9163	123

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 1 058

Calls

Call 1

Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
(cbrt.f64 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(sqrt.f64 x)
(+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(neg.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 5/6 binary64))
(cbrt.f64 (fma.f64 x x x))
(pow.f64 x #s(literal 2/3 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
(pow.f64 x #s(literal 1/6 binary64))

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (pow.f64 x #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal -2/3 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))
(.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal -1/3 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal -1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 x (neg.f64 x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -2 binary64)))
(.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 7/12 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 11/12 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11/12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/12 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7/12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5/12 binary64))))
(+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (cbrt.f64 x)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
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(*.f64 (cbrt.f64 (pow.f64 x #s(literal 11/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
(pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2/3 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal -1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))))
(.f64 (cbrt.f64 (.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/12 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/12 binary64) (*.f64 (log.f64 x) #s(literal 1/12 binary64))))
(cbrt.f64 (sqrt.f64 x))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/12 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/24 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 x))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(.f64 (pow.f64 x #s(literal 1/24 binary64)) (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 1/12 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/12 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/24 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 (sqrt.f64 x))))

eval348.0ms (3.4%)

Memory: 36.3MiB live, 411.8MiB allocated
Compiler: Compiled 36 537 to 4 404 computations (87.9% saved)

prune227.0ms (2.2%)

Memory

-11.4MiB live, 514.7MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1 605	25	1 630
Fresh	16	3	19
Picked	3	2	5
Done	0	1	1
Total	1 624	31	1 655

Accuracy

99.7%

Counts

1 655 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.1%	(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
	4.2%	(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/3 binary64)))))))
	7.5%	(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (fma.f64 x x x))))))
	48.2%	(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
✓	5.9%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
▶	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
✓	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
	48.6%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
▶	98.6%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
▶	25.1%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
	24.3%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (.f64 x x)))))))
	24.7%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (.f64 x x))))))))
	25.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (.f64 x x)))
	25.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
	46.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
	97.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
	97.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
	97.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x)))))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
▶	50.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))))))
	84.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)))))
	97.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
	89.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x))))))
▶	51.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
	51.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
	51.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓	49.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
	51.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 1 140 to 637 computations (44.1% saved)

simplify270.0ms (2.6%)

Memory

28.0MiB live, 417.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x))
✓	cost-diff	0	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
✓	cost-diff	0	(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓	cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
✓	cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))))))
✓	cost-diff	256	(neg.f64 (*.f64 x (neg.f64 x)))
✓	cost-diff	320	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x))))))
✓	cost-diff	0	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	64	(pow.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
✓	cost-diff	0	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))

Rules

10 648×	`lower-fma.f32`
10 646×	`lower-fma.f64`
2 298×	`lower-*.f32`
2 286×	`lower-*.f64`
1 884×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	4294967641
0	100	4294967633
1	165	4294967625
2	273	4294967625
3	663	4294967625
4	1683	4294967625
5	3085	4294967625
6	5485	4294967625
7	7580	4294967625
0	8015	377

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
x
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x))))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
#s(literal 1 binary64)
(cbrt.f64 (neg.f64 (*.f64 x (neg.f64 x))))
(neg.f64 (*.f64 x (neg.f64 x)))
(*.f64 x (neg.f64 x))
x
(neg.f64 x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(cbrt.f64 x)
#s(literal -1/9 binary64)
(*.f64 x x)

Outputs
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
x
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/3 binary64))
(cbrt.f64 x)
x
#s(literal 1/3 binary64)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 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) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x))))))
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x)))
#s(literal 1 binary64)
(cbrt.f64 (neg.f64 (*.f64 x (neg.f64 x))))
(cbrt.f64 (*.f64 x x))
(neg.f64 (*.f64 x (neg.f64 x)))
(*.f64 x x)
(*.f64 x (neg.f64 x))
x
(neg.f64 x)
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(cbrt.f64 x)
#s(literal -1/9 binary64)
(*.f64 x x)

localize427.0ms (4.1%)

Memory

-0.0MiB live, 985.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	57.2%	(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	50.5%	(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓	accuracy	99.3%	(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓	accuracy	98.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓	accuracy	52.4%	(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x))))))
✓	accuracy	98.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))))))
✓	accuracy	51.3%	(cbrt.f64 (neg.f64 (*.f64 x (neg.f64 x))))
✓	accuracy	92.1%	(pow.f64 x #s(literal 1/3 binary64))
✓	accuracy	7.8%	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
✓	accuracy	6.0%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.0%	(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	accuracy	99.0%	(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	98.9%	(/.f64 #s(literal 2 binary64) (*.f64 x x))

Samples

241.0ms	194×	1	valid
100.0ms	58×	2	valid
2.0ms	4×	0	valid

Compiler

Compiled 336 to 63 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

ival-pow: 87.0ms (29.2% of total)

ival-cbrt: 38.0ms (12.7% of total)

const: 37.0ms (12.4% of total)

ival-add: 36.0ms (12.1% of total)

adjust: 35.0ms (11.7% of total)

ival-mult: 26.0ms (8.7% of total)

ival-div: 21.0ms (7% of total)

ival-neg: 6.0ms (2% of total)

ival-sub: 5.0ms (1.7% of total)

ival-fabs: 4.0ms (1.3% of total)

ival-sqrt: 3.0ms (1% of total)

exact: 1.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

-8.3MiB live, 108.5MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#s(alt #s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (patch #s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ ( x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))) #<representation binary64>) () ())
#s(alt (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))) (patch (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
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Outputs
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#s(alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (patch (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor 0 x) (#s(alt (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) (patch (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor 0 x) (#s(alt (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) (patch (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor 0 x) (#s(alt (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) (patch (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor 0 x) (#s(alt (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) (patch (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor inf x) (#s(alt (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) (patch (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor inf x) (#s(alt (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) (patch (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor inf x) (#s(alt (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) (patch (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor inf x) (#s(alt (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) (patch (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) (patch (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) (patch (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) (patch (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) (patch (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1/9 (cbrt x)) (taylor 0 x) (#s(alt (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (patch (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/9 (cbrt x)) (taylor 0 x) (#s(alt (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (patch (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/9 (cbrt x)) (taylor 0 x) (#s(alt (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (patch (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/9 (cbrt x)) (taylor 0 x) (#s(alt (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (patch (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/9 (cbrt x)) (taylor inf x) (#s(alt (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (patch (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/9 (cbrt x)) (taylor inf x) (#s(alt (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (patch (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/9 (cbrt x)) (taylor inf x) (#s(alt (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (patch (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/9 (cbrt x)) (taylor inf x) (#s(alt (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (patch (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/9 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (patch (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/9 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (patch (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/9 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (patch (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/9 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (patch (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())

Calls

78 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/ 1 (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))))
3.0ms	x	@	0	(/ 1 (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))))
2.0ms	x	@	-inf	(* 1/3 (cbrt (pow (sqrt x) -4)))
2.0ms	x	@	inf	(/ 1 (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))))
2.0ms	x	@	inf	(cbrt (pow x 4))

simplify409.0ms (4%)

Memory

74.1MiB live, 637.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 606×	`lower-fma.f64`
10 606×	`lower-fma.f32`
6 462×	`lower-*.f64`
6 462×	`lower-*.f32`
4 658×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	392	5730
1	1026	5504
2	3234	5453
0	8057	5295

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))
(+ (* -2/3 (/ x (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 4/81 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (+ (* 2/27 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))) (* 2/3 (/ (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))))) (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (pow x 6))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (pow x 9))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) x)
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/9 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* (pow x 3) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))))) (pow x 3))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))))
(+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (* (pow x 2) (pow (sqrt -1) 4)))
(/ 1 (* (pow x 2) (pow (sqrt -1) 4)))
(/ 1 (* (pow x 2) (pow (sqrt -1) 4)))
(/ 1 (* (pow x 2) (pow (sqrt -1) 4)))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* -1 (* x (- (cbrt (/ (cbrt -1) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1/9 (cbrt (/ 1 (pow x 5))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(* -1/9 (cbrt x))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(* 1/3 (cbrt (pow x 4)))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* 1/3 (cbrt (pow x 4)))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* -1/9 (cbrt x))
(* 1/9 (* (cbrt x) (cbrt -1)))
(* 1/9 (* (cbrt x) (cbrt -1)))
(* 1/9 (* (cbrt x) (cbrt -1)))
(* 1/9 (* (cbrt x) (cbrt -1)))

Outputs
(/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))
(/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (fma.f64 x x x)) (+.f64 (cbrt.f64 (*.f64 x x)) #s(literal 1 binary64))))
(+ (* -2/3 (/ x (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(fma.f64 #s(literal -2/3 binary64) (/.f64 x (pow.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (+.f64 (cbrt.f64 (.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (fma.f64 x x x)) (+.f64 (cbrt.f64 (.f64 x x)) #s(literal 1 binary64)))))
(+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (+.f64 (cbrt.f64 (.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 4/9 binary64) (pow.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (+.f64 (cbrt.f64 (.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal -2/3 binary64) (pow.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (+.f64 (cbrt.f64 (.f64 x x)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (fma.f64 x x x)) (+.f64 (cbrt.f64 (.f64 x x)) #s(literal 1 binary64)))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 4/81 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (+ (* 2/27 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))) (* 2/3 (/ (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))))) (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
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(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* -1/9 (cbrt x))
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(* 1/3 (cbrt (pow x 4)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(cbrt (pow x 4))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(/.f64 (cbrt.f64 (fma.f64 x x x)) x)
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(/.f64 (cbrt.f64 (fma.f64 x x x)) x)
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(/.f64 (cbrt.f64 (fma.f64 x x x)) x)
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(/.f64 (cbrt.f64 (fma.f64 x x x)) x)
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x)
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(* -1/9 (cbrt x))
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
(* -1/9 (cbrt x))
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
(* -1/9 (cbrt x))
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
(* -1/9 (cbrt x))
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
(* -1/9 (cbrt x))
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
(* -1/9 (cbrt x))
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
(* -1/9 (cbrt x))
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
(* -1/9 (cbrt x))
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
(* 1/9 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))
(* 1/9 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))
(* 1/9 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))
(* 1/9 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))

rewrite329.0ms (3.2%)

Memory

-56.9MiB live, 319.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 602×	`lower-fma.f32`
4 600×	`lower-fma.f64`
2 576×	`lower-*.f32`
2 566×	`lower-*.f64`
2 160×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	4294967568
0	100	324
1	431	288
2	3437	288
0	8517	258

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 625

Calls

Call 1

Inputs
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(pow.f64 x #s(literal 1/3 binary64))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x))))))
(neg.f64 (*.f64 x (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x))
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt.f64 (neg.f64 (*.f64 x (neg.f64 x))))
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))

Outputs
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))))) x)
(pow.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))) (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) (-.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x)) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2/3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2/3 binary64)) (pow.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64)))))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64))))
(+.f64 (.f64 x (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x)) (fma.f64 x (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal 2/3 binary64))))
(+.f64 (fma.f64 x (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal 2/3 binary64))) (.f64 x (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x)))
(+.f64 (.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x))) (pow.f64 x #s(literal 2/3 binary64)))
(+.f64 (.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) x) (pow.f64 x #s(literal 2/3 binary64)))
(fma.f64 x (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (fma.f64 x (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal 2/3 binary64))))
(fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) (.f64 x (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x)))
(fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64)))
(fma.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) x (fma.f64 x (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal 2/3 binary64))))
(fma.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) x (.f64 x (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x)))
(fma.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) x (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x x)) (pow.f64 (fma.f64 x (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x)) (fma.f64 x (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 x (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x)) (fma.f64 x (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 (.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) (-.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x)) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2/3 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2/3 binary64)) (pow.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64)))))
(/.f64 (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) x) (fma.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) (-.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x)) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2/3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2/3 binary64)) (pow.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) x) (-.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64)))))
(pow.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64))
(.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64)))))
(.f64 x (/.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64)))) x)
(.f64 (fma.f64 x (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))))
(+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x)))
(+.f64 (pow.f64 x #s(literal -1/3 binary64)) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)))
(+.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x))
(+.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)) (pow.f64 x #s(literal -1/3 binary64)))
(+.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 (cbrt.f64 (fma.f64 x x x)) x))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2/3 binary64)) (-.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))))) (/.f64 (pow.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64)) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)))
(fma.f64 (cbrt.f64 (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal -1/3 binary64)) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x)))
(fma.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))) (cbrt.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) x)))) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x))
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(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2/3 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2/3 binary64))
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 x))
(*.f64 x (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) x)
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 5/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 11/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 7/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 11/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/3 binary64))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 (neg.f64 x) #s(literal -1 binary64))) (cbrt.f64 x))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 2 binary64)))
(cbrt.f64 x)
(cbrt.f64 (neg.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64)))
(/.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (cbrt.f64 x) #s(literal 1 binary64))
(/.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))
(/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (cbrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow.f64 (neg.f64 x) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/12 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))))
(.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (pow.f64 x #s(literal 11/12 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 11/12 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/12 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/12 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7/12 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 7/12 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/12 binary64))))
(.f64 (pow.f64 x #s(literal 1/6 binary64)) (.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1/9 binary64)))
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
(.f64 (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))

eval117.0ms (1.1%)

Memory: 16.8MiB live, 210.7MiB allocated
Compiler: Compiled 22 184 to 2 583 computations (88.4% saved)

prune199.0ms (1.9%)

Memory

-48.7MiB live, 284.6MiB allocated

Pruning

48 alts after pruning (42 fresh and 6 done)

	Pruned	Kept	Total
New	913	24	937
Fresh	5	18	23
Picked	2	3	5
Done	0	3	3
Total	920	48	968

Accuracy

99.8%

Counts

968 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.1%	(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
	7.5%	(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (fma.f64 x x x))))))
▶	48.2%	(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
✓	5.9%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
▶	5.3%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
✓	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
	48.6%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
	50.9%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x))))))
▶	98.4%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	51.0%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	48.5%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
✓	98.6%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	51.0%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) #s(approx (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))) (+.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))))))))
	46.9%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2/3 binary64)) (pow.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))))))
	45.3%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
	45.3%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (.f64 x x)))
	48.7%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
	49.4%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
	25.1%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
	48.3%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (pow x 4))) (* (cbrt x) -1/9)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))) (*.f64 x x)))
	24.3%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (pow x 4))) (* (cbrt x) -1/9)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 x x)))
	25.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (.f64 x x)))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
	46.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
	97.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
▶	97.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
	97.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x)))))
	97.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
	92.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))))
	91.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x))))
	89.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -1/3 binary64) (log.f64 x) (log.f64 x))))))
	50.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
	24.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))))
	50.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x))))))
	50.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
	84.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)))))
	97.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
	89.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64)))))
✓	51.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
	51.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
	51.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓	49.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
▶	51.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 1 662 to 927 computations (44.2% saved)

simplify236.0ms (2.3%)

Memory

32.1MiB live, 312.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))
✓	cost-diff	0	(neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
✓	cost-diff	0	#s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓	cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
✓	cost-diff	320	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
✓	cost-diff	0	(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	704	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(cbrt.f64 (neg.f64 x))
✓	cost-diff	0	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
✓	cost-diff	0	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
✓	cost-diff	128	(+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	320	(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	5824	(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64))

Rules

8 084×	`lower-fma.f32`
8 082×	`lower-fma.f64`
2 052×	`lower-*.f32`
2 040×	`lower-*.f64`
1 444×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	524
0	95	515
1	152	501
2	265	501
3	477	470
4	885	470
5	1630	470
6	3047	470
7	4890	470
8	6882	470
9	7626	470
0	8006	466

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
x
(+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(cbrt.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/3 binary64)
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
#s(literal 1/3 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(literal 1 binary64)
(cbrt.f64 x)
x
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
#s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 2/3 binary64)
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))
(pow.f64 x #s(literal 2/3 binary64))
(cbrt.f64 (fma.f64 x x x))
(fma.f64 x x x)

Outputs
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
x
(+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(cbrt.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
#s(literal 1/3 binary64)
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
#s(literal 1/3 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
#s(literal 1 binary64)
(cbrt.f64 x)
x
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(/.f64 (neg.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64))) (+.f64 (cbrt.f64 (fma.f64 x x x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
(-.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (fma.f64 x x x)))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))
(+.f64 (cbrt.f64 (fma.f64 x x x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 2/3 binary64)
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))
(pow.f64 x #s(literal 2/3 binary64))
(cbrt.f64 (fma.f64 x x x))
(fma.f64 x x x)

localize291.0ms (2.8%)

Memory

2.4MiB live, 282.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))
✓	accuracy	90.6%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
✓	accuracy	90.6%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	51.3%	(cbrt.f64 (fma.f64 x x x))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	98.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	98.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	52.4%	(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
✓	accuracy	99.2%	(cbrt.f64 (neg.f64 x))
✓	accuracy	7.8%	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
✓	accuracy	99.0%	(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.0%	(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	98.9%	(/.f64 #s(literal 2 binary64) (*.f64 x x))

Samples

159.0ms	194×	1	valid
53.0ms	58×	2	valid
1.0ms	4×	0	valid

Compiler

Compiled 458 to 49 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

adjust: 24.0ms (15.9% of total)

ival-pow: 24.0ms (15.9% of total)

ival-cbrt: 22.0ms (14.6% of total)

ival-div: 20.0ms (13.3% of total)

ival-add: 18.0ms (11.9% of total)

ival-mult: 15.0ms (10% of total)

const: 11.0ms (7.3% of total)

ival-neg: 5.0ms (3.3% of total)

ival-sub: 4.0ms (2.7% of total)

ival-sqrt: 3.0ms (2% of total)

ival-fabs: 3.0ms (2% of total)

exact: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory

-11.8MiB live, 25.9MiB allocated

Counts

28 → 336

Calls

Call 1

Inputs
#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (patch #s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ ( x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) (patch (.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (patch (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))) (patch (/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (patch #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (patch (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))) (patch (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (patch (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())
#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (sqrt 2) x) (taylor 0 x) (#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) x) (taylor 0 x) (#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) x) (taylor 0 x) (#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (sqrt 2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2)))))) x) (taylor 0 x) (#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (patch (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 x) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 x) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 x) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 x)) x) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 x)) x) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 x)) x) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 x)) x) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (cbrt (/ 1 x)) (taylor inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 x)) (taylor inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt (+ x (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (cbrt (+ x (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (cbrt (+ x (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (cbrt (+ x (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 x x x)) (patch (cbrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 2)) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (cbrt -1))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (cbrt -1))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (cbrt -1))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt (pow x 2)) (cbrt -1))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2/3 binary64)) (patch (pow.f64 x #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2/3 x)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2/3 (* -1/9 x)))) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9))))) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())

Calls

84 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(+ (* (cbrt (pow (+ (/ 1 x) (/ 2 (* x x))) 1/2)) (cbrt (pow (+ (/ 1 x) (/ 2 (* x x))) 1/2))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))
1.0ms	x	@	inf	(+ (* (cbrt (pow (+ (/ 1 x) (/ 2 (* x x))) 1/2)) (cbrt (pow (+ (/ 1 x) (/ 2 (* x x))) 1/2))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))
1.0ms	x	@	-inf	(+ (* (cbrt (pow (+ (/ 1 x) (/ 2 (* x x))) 1/2)) (cbrt (pow (+ (/ 1 x) (/ 2 (* x x))) 1/2))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))
1.0ms	x	@	-inf	(/ (/ 1 (cbrt x)) (cbrt x))
1.0ms	x	@	-inf	(pow (+ (/ 1 x) (/ 2 (* x x))) 1/2)

simplify388.0ms (3.8%)

Memory

6.9MiB live, 440.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 848×	`lower-fma.f64`
7 848×	`lower-fma.f32`
4 518×	`lower-*.f64`
4 518×	`lower-*.f32`
3 416×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	559	8340
1	1565	7940
2	5095	7761
0	8062	7559

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(/ (sqrt 2) x)
(/ (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) x)
(/ (+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) x)
(/ (+ (sqrt 2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2)))))) x)
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/ 1 (pow x 2))
(/ (+ 1 x) (pow x 2))
(/ (+ 1 x) (pow x 2))
(/ (+ 1 x) (pow x 2))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (/ 1 x)) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(/ (+ (cbrt (+ x (pow x 2))) (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))) x)
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))
(+ (* -2/3 (/ x (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 4/81 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (+ (* 2/27 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))) (* 2/3 (/ (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))))) (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(/ (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (pow x 6))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)
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(/ (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (pow x 6))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (pow x 9))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) x)
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/9 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* (pow x 3) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))))) (pow x 3))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(* -1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))
(- (* -2/3 x) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))
(- (* x (- (* 1/9 x) 2/3)) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))
(- (* x (- (* x (+ 1/9 (* -4/81 x))) 2/3)) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))
(* -1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(* x (- (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))
(* x (- (* 1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (cbrt (/ 1 x)) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))))
(* x (- (* -5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (cbrt (/ 1 x)) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))))
(* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (* x (- (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))))
(* -1 (* x (- (* -1 (/ (- (* -1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))))
(+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))
(+ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (pow x 2)) (* 2/3 x))))
(+ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (pow x 2)) (* x (+ 2/3 (* -1/9 x))))))
(+ 1 (+ (cbrt (+ x (pow x 2))) (+ (cbrt (pow x 2)) (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (cbrt (/ 1 x)) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (cbrt (/ 1 x)) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (cbrt (/ 1 x)) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))))
(* -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(* (/ 1 x) (cbrt (+ x (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
(cbrt (+ x (pow x 2)))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
1
(+ 1 (* 2/3 x))
(+ 1 (* x (+ 2/3 (* -1/9 x))))
(+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))

Outputs
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) x)
(/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) x)
(/ (+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) x)
(/ (+ (sqrt 2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7)))))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
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(.f64 x (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))
(.f64 x (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2/3 x))
(fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 2/3 (* -1/9 x))))
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 4/81 binary64) #s(literal -1/9 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(.f64 x (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))
(.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))
(.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 8 binary64)))) (/.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (neg.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(.f64 (neg.f64 x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))) (.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(neg.f64 (.f64 x (-.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)) (.f64 x (.f64 x x))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) #s(literal 1/3 binary64))) (.f64 x (*.f64 x x))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(.f64 (neg.f64 x) (-.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) #s(literal -1/9 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 8 binary64)))) (/.f64 #s(literal -5/81 binary64) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))))

rewrite306.0ms (3%)

Memory

0.6MiB live, 436.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 958×	`lower-fma.f32`
4 956×	`lower-fma.f64`
2 990×	`lower-/.f32`
2 976×	`lower-/.f64`
2 824×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	334
0	95	293
1	362	262
2	3011	248
0	10039	241

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

28 → 1 007

Calls

Call 1

Inputs
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
(cbrt.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 x))
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
#s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64))
(neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt.f64 x)
(cbrt.f64 (fma.f64 x x x))
(pow.f64 x #s(literal 2/3 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #s(literal 3 binary64)))
(exp.f64 (fma.f64 #s(literal 1/6 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 #s(literal 1/3 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 #s(literal 1/6 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(cbrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) (sqrt.f64 (.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 x (*.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (sqrt.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x)) (sqrt.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 x #s(literal -2 binary64)))) (sqrt.f64 (.f64 x (.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 x (.f64 x (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (.f64 x x)))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x)) (sqrt.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 x (.f64 x x))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 x (.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 x x (.f64 x #s(literal -2 binary64)))) (sqrt.f64 (.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 x (.f64 x (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (.f64 x x)))
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(*.f64 (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (fma.f64 #s(literal -1/3 binary64) (log.f64 x) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal -1/3 binary64) (log.f64 x))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))))
(cbrt.f64 (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(/.f64 (cbrt.f64 x) (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 2/3 binary64)) (cbrt.f64 #s(literal -1 binary64)))
(/.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 x #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(pow.f64 x #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2/3 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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 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 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 x (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) x)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 2/3 binary64)))
(*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(cbrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
(.f64 (cbrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))

eval292.0ms (2.8%)

Memory: -16.7MiB live, 424.1MiB allocated
Compiler: Compiled 50 879 to 5 335 computations (89.5% saved)

prune354.0ms (3.4%)

Memory

12.7MiB live, 333.2MiB allocated

Pruning

54 alts after pruning (45 fresh and 9 done)

	Pruned	Kept	Total
New	1 492	10	1 502
Fresh	2	35	37
Picked	2	3	5
Done	0	6	6
Total	1 496	54	1 550

Accuracy

99.9%

Counts

1 550 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.1%	(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
	49.6%	(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal -1/3 binary64)) x (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))))
	48.2%	(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))))
✓	5.9%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
✓	5.3%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
✓	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
	48.6%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
	50.9%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x))))))
	98.6%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))))
	97.7%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	97.7%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	95.4%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	97.7%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 #s(approx (pow (+ (/ 1 x) (/ 2 ( x x))) 1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	51.0%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	48.5%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
✓	98.6%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	51.0%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) #s(approx (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))) (+.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))))))))
	46.9%	#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2/3 binary64)) (pow.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))))))
	45.3%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
	45.3%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (.f64 x x)))
	48.7%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
	49.4%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
	25.1%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
	48.3%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (pow x 4))) (* (cbrt x) -1/9)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))) (*.f64 x x)))
	24.3%	#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (pow x 4))) (* (cbrt x) -1/9)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 x x)))
	25.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (.f64 x x)))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
	46.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
	97.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
	97.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 x))))
✓	97.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) (cbrt.f64 x))))
	97.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))
	97.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
	89.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
	92.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))))
	91.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x))))
	89.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -1/3 binary64) (log.f64 x) (log.f64 x))))))
	50.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
	24.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))))
	50.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x))))))
	50.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
	84.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)))))
	97.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
	89.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64)))))
✓	51.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
	51.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
	51.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓	49.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	51.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 2 641 to 987 computations (62.6% saved)

regimes97.0ms (0.9%)

Memory

-3.3MiB live, 35.3MiB allocated

Counts

84 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
#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))) (pow.f64 x #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (pow x 4))) (* (cbrt x) -1/9)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (.f64 x x)))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -1/3 binary64) (log.f64 x) (log.f64 x))))))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))))
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal -1/3 binary64)) x (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) #s(approx (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))) (+.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (fma.f64 x x x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (.f64 x x)))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (pow x 4))) (* (cbrt x) -1/9)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))) (*.f64 x x)))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)))))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x x))) x) (/.f64 (cbrt.f64 (fma.f64 x x x)) x))))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/3 binary64)))))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (cbrt.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 x))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 #s(approx (pow (+ (/ 1 x) (/ 2 ( x x))) 1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2/3 binary64)) (pow.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (pow.f64 x #s(literal -1/3 binary64))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (.f64 x x)))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (.f64 x x))))))))

Outputs

#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))

Calls

2 calls:

75.0ms	x
17.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes30.0ms (0.3%)

Memory

25.0MiB live, 25.0MiB allocated

Counts

58 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
#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))) (pow.f64 x #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (pow x 4))) (* (cbrt x) -1/9)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (.f64 x x)))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal -1/3 binary64) (log.f64 x) (log.f64 x))))))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))))
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal -1/3 binary64)) x (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) #s(approx (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (+ (cbrt (+ (/ 1 (* x x)) (/ 1 x))) (cbrt (/ 1 x))))) (+.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (fma.f64 x x x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (.f64 x x)))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (pow x 4))) (* (cbrt x) -1/9)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))) (*.f64 x x)))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x x)) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))

Calls

2 calls:

15.0ms	x
12.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes62.0ms (0.6%)

Memory

-24.2MiB live, 14.6MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
#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))) (pow.f64 x #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 #s(approx (+ (* 1/3 (cbrt (pow x 4))) (* (cbrt x) -1/9)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))))

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))

Calls

2 calls:

54.0ms	x
7.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
97.2%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
97.2%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes15.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))
#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))) (pow.f64 x #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (.f64 #s(literal 2/3 binary64) (log.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))

Calls

2 calls:

8.0ms	x
6.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
97.2%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
97.2%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)))))

Outputs

#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x))))))

#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))))

Calls

2 calls:

6.0ms	x
5.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
92.5%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
94.5%	2	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes20.0ms (0.2%)

Memory

-29.9MiB live, 8.9MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))))

Outputs

#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x)))))

#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))))

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
94.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (.f64 x (neg.f64 x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))

Outputs

#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x)))))

#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) x))))

Calls

2 calls:

5.0ms	x
4.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
91.0%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
93.6%	2	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))

Outputs

#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x)))))

#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
92.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))

Outputs

#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))

#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
92.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
89.6%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
89.6%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory

-30.7MiB live, 7.3MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))

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:

6.0ms	x
2.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
89.6%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
89.6%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))

(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))

(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))

Outputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
5.3%	1	`x`
5.3%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))

Outputs
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
1.8%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
1.8%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch17.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.387676752248663e+150	4.646166507932515e+154

Samples

11.0ms

128×

valid

Compiler

Compiled 219 to 162 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cbrt: 3.0ms (40.3% of total)

adjust: 2.0ms (26.9% of total)

ival-add: 1.0ms (13.4% of total)

ival-sub: 1.0ms (13.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.387676752248663e+150	4.646166507932515e+154

Compiler

Compiled 203 to 154 computations (24.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.387676752248663e+150	4.646166507932515e+154

Compiler

Compiled 195 to 146 computations (25.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.387676752248663e+150	4.646166507932515e+154

Compiler

Compiled 171 to 130 computations (24% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.387676752248663e+150	4.646166507932515e+154

Compiler

Compiled 171 to 130 computations (24% saved)

simplify32.0ms (0.3%)

Memory

-51.0MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
18×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	4294967570
1	121	4294967570
2	129	4294967570
3	134	4294967570
4	136	4294967570

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))

Outputs
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 x #s(literal -1/3 binary64)))))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))

soundness1.3s (12.6%)

Memory

22.5MiB live, 1 051.4MiB allocated

Rules

11 740×	`lower-fma.f32`
11 734×	`lower-fma.f64`
6 602×	`lower-fma.f64`
6 602×	`lower-fma.f32`
6 306×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	4294967568
0	100	324
1	431	288
2	3437	288
0	8517	258
0	146	602
1	350	564
2	900	564
3	2613	561
4	5976	561
0	8122	528
0	38	161
0	66	137
1	270	124
2	1798	124
0	9163	123
0	524	4978
1	1417	4766
2	5097	4684
0	8287	4521
0	6	16
0	10	16
1	43	16
2	282	16
3	3101	16
0	9092	16
0	61	334
0	95	293
1	362	262
2	3011	248
0	10039	241

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 612 to 372 computations (39.2% saved)

preprocess80.0ms (0.8%)

Memory: 21.3MiB live, 100.6MiB allocated
Compiler: Compiled 456 to 166 computations (63.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

analyze2.0ms (0%)

sample1.6s (15.8%)

preprocess25.0ms (0.2%)

explain110.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize41.0ms (0.4%)

series13.0ms (0.1%)

simplify232.0ms (2.3%)

rewrite285.0ms (2.8%)

eval51.0ms (0.5%)

prune82.0ms (0.8%)

simplify270.0ms (2.6%)

localize405.0ms (3.9%)

series218.0ms (2.1%)

simplify392.0ms (3.8%)

rewrite546.0ms (5.3%)

eval348.0ms (3.4%)

prune227.0ms (2.2%)

simplify270.0ms (2.6%)

localize427.0ms (4.1%)

series40.0ms (0.4%)

simplify409.0ms (4%)

rewrite329.0ms (3.2%)

eval117.0ms (1.1%)

prune199.0ms (1.9%)

simplify236.0ms (2.3%)

localize291.0ms (2.8%)

series58.0ms (0.6%)

simplify388.0ms (3.8%)

rewrite306.0ms (3%)

eval292.0ms (2.8%)

prune354.0ms (3.4%)

regimes97.0ms (0.9%)

regimes30.0ms (0.3%)

regimes62.0ms (0.6%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes20.0ms (0.2%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify32.0ms (0.3%)

soundness1.3s (12.6%)

preprocess80.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18