Metrics for 2cbrt (problem 3.3.4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.8MiB live, 2.8MiB 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)

sample1.8s (22.3%)

Memory

-237.8MiB live, 2 063.9MiB allocated

Samples

1.1s	6 384×	1	valid
357.0ms	1 595×	2	valid
19.0ms	277×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

const: 394.0ms (32.2% of total)

ival-cbrt: 277.0ms (22.6% of total)

adjust: 211.0ms (17.2% of total)

ival-add: 138.0ms (11.3% of total)

ival-sub: 136.0ms (11.1% of total)

ival->: 27.0ms (2.2% of total)

ival-<: 20.0ms (1.6% of total)

ival-and: 12.0ms (1% of total)

exact: 8.0ms (0.7% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain112.0ms (1.4%)

Memory

32.3MiB live, 193.4MiB 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

38.0ms	394×	1	valid
16.0ms	96×	2	valid
1.0ms	22×	0	valid

Compiler

Compiled 48 to 22 computations (54.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-cbrt: 15.0ms (40.5% of total)

adjust: 10.0ms (27% of total)

ival-add: 6.0ms (16.2% of total)

ival-sub: 5.0ms (13.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess25.0ms (0.3%)

Memory

-37.1MiB live, 16.7MiB 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))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.2%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cbrt.f64 x)
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.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))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(cbrt.f64 x)

localize42.0ms (0.5%)

Memory

-10.4MiB live, 66.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.49521264652663033	(cbrt.f64 x)
accuracy	0.49749765629507237	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	58.748170039331114	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Samples

20.0ms	197×	1	valid
12.0ms	48×	2	valid
1.0ms	11×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-add: 8.0ms (35.8% of total)

ival-cbrt: 7.0ms (31.3% of total)

adjust: 4.0ms (17.9% of total)

ival-sub: 2.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB 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 (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x))
4.0ms	x	@	inf	((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x))
2.0ms	x	@	0	((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x))

simplify131.0ms (1.6%)

Memory

-10.5MiB live, 106.4MiB 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	902	564
3	2613	561
4	5974	561
0	8120	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
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))

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

rewrite151.0ms (1.9%)

Memory

-6.6MiB live, 147.2MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (pow.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (-.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))))
(*.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (/.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))
(.f64 (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) #s(literal -1 binary64))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (.f64 x x) x #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 2/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 x x))) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 x) x)) (cbrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 7/3 binary64))) (pow.f64 x #s(literal 2/9 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8/3 binary64))) (pow.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/9 binary64)) (cbrt.f64 (pow.f64 x #s(literal 8/3 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 x #s(literal 7/3 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 x x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2/3 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (cbrt.f64 x) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(cbrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log1p.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (log1p.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))))
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64)))
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/3 binary64))
(cbrt.f64 x)
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))

eval46.0ms (0.6%)

Memory: 31.2MiB live, 67.2MiB allocated
Compiler: Compiled 8 225 to 1 305 computations (84.1% saved)

prune77.0ms (0.9%)

Memory

3.6MiB live, 123.6MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	381	22	403
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	381	23	404

Accuracy

54.0%

Counts

404 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.2%	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
	6.9%	(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
	7.0%	(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
	6.5%	(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
	9.1%	(-.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))
	8.0%	(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
	7.3%	(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 x) x)) (cbrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))) (cbrt.f64 x))
	9.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
▶	7.8%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
	9.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
	9.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
	8.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64))))
✓	8.2%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	7.3%	(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
	4.3%	(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
▶	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
	4.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	8.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 16 binary64))))) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x))) (*.f64 x x)))
	24.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)))) (*.f64 x x)))
	25.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (.f64 x x)))
	25.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (.f64 x x)))
▶	24.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
▶	51.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))

Compiler

Compiled 738 to 488 computations (33.9% saved)

simplify178.0ms (2.2%)

Memory

-16.6MiB live, 139.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
cost-diff	0	(cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
cost-diff	0	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
cost-diff	0	(cbrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
cost-diff	0	(fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))
cost-diff	0	(/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))

Rules

9 480×	`lower-fma.f32`
9 474×	`lower-fma.f64`
2 808×	`lower-*.f32`
2 798×	`lower-*.f64`
2 210×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	219
0	64	219
1	91	207
2	116	197
3	172	197
4	251	197
5	421	197
6	779	197
7	2506	197
8	3717	197
9	5066	197
10	6028	197
11	6758	197
12	7414	197
0	8135	197

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(.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))
#s(literal 1 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(cbrt.f64 x)
x
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
(/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))
(fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))
(cbrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
#s(literal -1/9 binary64)
(cbrt.f64 x)
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x)))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -1/3 binary64)
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (cbrt.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 (-.f64 x #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(cbrt.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(exp.f64 #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(log.f64 x)

localize317.0ms (3.9%)

Memory

25.3MiB live, 334.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 #s(literal 1/3 binary64))
accuracy	0.49749765629507237	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	4.345106048313804	(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
accuracy	58.748170039331114	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
accuracy	0.49521264652662994	(cbrt.f64 x)
accuracy	4.950857014325115	(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
accuracy	29.35055238107626	(cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	58.98610549132864	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
accuracy	0.49521264652662994	(cbrt.f64 x)
accuracy	0.9085184109096378	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
accuracy	29.592226913240538	(cbrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
accuracy	29.740965152233063	(/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))
accuracy	0.49521264652662994	(cbrt.f64 x)
accuracy	58.748170039331114	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
accuracy	58.91122632868111	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
accuracy	0.33984375	(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
accuracy	0.6292088044561515	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	1.7819933668824786	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))
accuracy	28.64050941986212	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))

Samples

178.0ms	197×	1	valid
69.0ms	48×	2	valid
3.0ms	11×	0	valid

Compiler

Compiled 195 to 36 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-pow: 48.0ms (22.2% of total)

ival-log: 38.0ms (17.6% of total)

adjust: 26.0ms (12% of total)

const: 21.0ms (9.7% of total)

ival-mult: 21.0ms (9.7% of total)

ival-cbrt: 17.0ms (7.9% of total)

ival-exp: 11.0ms (5.1% of total)

ival-add: 11.0ms (5.1% of total)

ival-sub: 8.0ms (3.7% of total)

ival-div: 6.0ms (2.8% of total)

ival-copysign: 4.0ms (1.8% of total)

ival-neg: 2.0ms (0.9% of total)

ival-fabs: 2.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series144.0ms (1.8%)

Memory

-14.8MiB live, 214.1MiB allocated

Counts

20 → 228

Calls

Call 1

Inputs
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)) (patch (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)) #<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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)) (patch (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) (patch (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (patch (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) #<representation binary64>) () ())
#s(alt (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 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) (patch (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) #<representation binary64>) () ())
#s(alt (exp.f64 #s(literal 1/3 binary64)) (patch (exp.f64 #s(literal 1/3 binary64)) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

73.0ms

((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (/ 1 (* x x))) 1/3) (cbrt (/ 1 (* x x))) (/ 1 (* x x)) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (cbrt (* (* (* x x) x) x)) (+ (* (pow (- x 1) -1/3) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (pow (- x 1) -1/3) (- x 1) (cbrt (+ (* x x) -1)) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt (+ x 1)) (+ x 1) (pow (exp 1/3) (log x)) (exp 1/3))

31.0ms

-inf

((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (/ 1 (* x x))) 1/3) (cbrt (/ 1 (* x x))) (/ 1 (* x x)) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (cbrt (* (* (* x x) x) x)) (+ (* (pow (- x 1) -1/3) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (pow (- x 1) -1/3) (- x 1) (cbrt (+ (* x x) -1)) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt (+ x 1)) (+ x 1) (pow (exp 1/3) (log x)) (exp 1/3))

31.0ms

inf

((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (/ 1 (* x x))) 1/3) (cbrt (/ 1 (* x x))) (/ 1 (* x x)) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (cbrt (* (* (* x x) x) x)) (+ (* (pow (- x 1) -1/3) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (pow (- x 1) -1/3) (- x 1) (cbrt (+ (* x x) -1)) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt (+ x 1)) (+ x 1) (pow (exp 1/3) (log x)) (exp 1/3))

simplify211.0ms (2.6%)

Memory

-18.5MiB live, 241.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 062×	`lower-fma.f64`
8 062×	`lower-fma.f32`
4 976×	`lower-*.f64`
4 976×	`lower-*.f32`
3 210×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	353	3315
1	959	3106
2	2821	3082
3	6498	3047
0	8609	2891

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 224

Calls

Call 1

Inputs
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(- 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))
(* -1/9 (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))
(* -1/9 (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))))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 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))
(cbrt -1)
(+ (cbrt -1) (* -1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2))))))
(+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (* x (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))) (pow (cbrt -1) 2))))))
(+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/3 (/ (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2))) (* 1/3 (/ (* x (- (* 1/27 (/ 1 (pow (cbrt -1) 2))) (+ 1 (* 2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))))) (pow (cbrt -1) 2))))))))
-1
(- x 1)
(- x 1)
(- x 1)
(cbrt -1)
(+ (cbrt -1) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 2))))
(+ (cbrt -1) (* (pow x 2) (+ (* -1/9 (/ (pow x 2) (pow (cbrt -1) 5))) (* 1/3 (/ 1 (pow (cbrt -1) 2))))))
(+ (cbrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 5/81 (/ (pow x 2) (pow (cbrt -1) 8))) (* 1/9 (/ 1 (pow (cbrt -1) 5))))) (* 1/3 (/ 1 (pow (cbrt -1) 2))))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* 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))))
(+ (* -1/9 (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 (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))))))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(cbrt (pow x 4))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(cbrt (pow x 2))
(* x (+ (cbrt (/ 1 x)) (* -1/3 (cbrt (/ 1 (pow x 7))))))
(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (* -1/9 (cbrt (/ 1 (pow x 13)))))))
(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (+ (* -1/9 (cbrt (/ 1 (pow x 13)))) (* -5/81 (cbrt (/ 1 (pow x 19))))))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* 1/3 (* (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))))
(+ (* 1/9 (* (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)))))
(* 1/3 (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))
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))
(/ (+ (* -1/3 (* (cbrt (pow x 4)) (cbrt -1))) (* 1/9 (* (cbrt x) (cbrt -1)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (cbrt -1))) (* 5/81 (* (cbrt (pow x 7)) (cbrt -1)))) (pow x 3))) (* -1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/81 (* (cbrt (pow x 16)) (cbrt -1))) (* 10/243 (* (cbrt (pow x 13)) (cbrt -1)))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (cbrt -1)))) (pow x 3))) (* -1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 2))
(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))) (* -1/3 (* (/ 1 x) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* -1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (pow x 3))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* x (+ (* 1/3 (cbrt (/ 1 (pow x 7)))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 2))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 5)) (cbrt -1))) (* 5/81 (cbrt (/ 1 x)))) (pow x 3))) (* -1/3 (cbrt (pow x 2)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))))
(* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (- (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))

Outputs
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(* -1/9 (cbrt (/ 1 (pow x 5))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 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 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 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 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.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 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))
(cbrt (pow x 4))
(cbrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(cbrt (pow x 4))
(cbrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(cbrt (pow x 4))
(cbrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(cbrt (pow x 4))
(cbrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(cbrt -1)
(cbrt.f64 #s(literal -1 binary64))
(+ (cbrt -1) (* -1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))
(+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (* x (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))) (pow (cbrt -1) 2))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (cbrt.f64 #s(literal -1 binary64)))
(+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/3 (/ (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2))) (* 1/3 (/ (* x (- (* 1/27 (/ 1 (pow (cbrt -1) 2))) (+ 1 (* 2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))))) (pow (cbrt -1) 2))))))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 2/3 binary64)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x (.f64 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal -1/3 binary64))) x (cbrt.f64 #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(cbrt -1)
(cbrt.f64 #s(literal -1 binary64))
(+ (cbrt -1) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) x (cbrt.f64 #s(literal -1 binary64)))
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(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
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(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
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(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
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(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
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(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
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(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) x)
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) x)
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
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(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (.f64 x x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
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(* 1/3 (cbrt (pow x 4)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
(.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))
(cbrt (pow x 4))
(cbrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(cbrt (pow x 4))
(cbrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(cbrt (pow x 4))
(cbrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(cbrt (pow x 4))
(cbrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
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(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
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(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
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(cbrt (+ (/ 1 x) (/ 1 (pow x 2))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))
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(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))))
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x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(* x (+ (cbrt (/ 1 x)) (* -1/3 (cbrt (/ 1 (pow x 7))))))
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (* -1/9 (cbrt (/ 1 (pow x 13)))))))
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(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (+ (* -1/9 (cbrt (/ 1 (pow x 13)))) (* -5/81 (cbrt (/ 1 (pow x 19))))))))
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(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))
#s(literal 0 binary64)
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
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x
(* x (+ 1 (/ 1 x)))
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(* x (+ 1 (/ 1 x)))
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(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (.f64 (neg.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 (/.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 16 binary64))))) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x))) (*.f64 x x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (.f64 (neg.f64 x) (.f64 x x)))) (*.f64 x x))
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(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(neg.f64 (fma.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x x)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(fma.f64 (neg.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) x (/.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (.f64 (neg.f64 x) (.f64 x x)))) (*.f64 x x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (.f64 (neg.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))
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(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
(fma.f64 (.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
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(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))
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(* 1/3 (cbrt (pow x 4)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64))
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
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(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
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(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))
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(cbrt (pow x 4))
(cbrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(cbrt (pow x 4))
(cbrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(cbrt (pow x 4))
(cbrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(cbrt (pow x 4))
(cbrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))
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x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (.f64 x x)))
(* -1 (* x (+ (* 1/3 (cbrt (/ 1 (pow x 7)))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(.f64 (neg.f64 x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 2))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(neg.f64 (fma.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (cbrt.f64 (.f64 x x)) #s(literal -1/3 binary64)))) (.f64 x x))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 5)) (cbrt -1))) (* 5/81 (cbrt (/ 1 x)))) (pow x 3))) (* -1/3 (cbrt (pow x 2)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(fma.f64 (neg.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (cbrt.f64 (.f64 x x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5/81 binary64))) (.f64 (neg.f64 x) (.f64 x x)))) (*.f64 x x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))))
(neg.f64 (fma.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(neg.f64 (fma.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(neg.f64 (fma.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(neg.f64 (fma.f64 (.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x x)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(fma.f64 (neg.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) x (/.f64 (fma.f64 (/.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (.f64 (neg.f64 x) (.f64 x x)))) (*.f64 x x)))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))

rewrite179.0ms (2.2%)

Memory

33.6MiB live, 265.1MiB allocated

Rules

7 108×	`lower-fma.f32`
7 102×	`lower-fma.f64`
3 452×	`lower-/.f32`
3 448×	`lower-/.f64`
3 416×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	169
0	64	158
1	214	139
2	1453	139
0	8719	132

Stop Event

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

Counts

20 → 794

Calls

Call 1

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

eval201.0ms (2.5%)

Memory: 0.8MiB live, 277.0MiB allocated
Compiler: Compiled 25 614 to 2 847 computations (88.9% saved)

prune179.0ms (2.2%)

Memory

3.8MiB live, 362.3MiB allocated

Pruning

45 alts after pruning (41 fresh and 4 done)

	Pruned	Kept	Total
New	1 079	37	1 116
Fresh	13	4	17
Picked	2	3	5
Done	0	1	1
Total	1 094	45	1 139

Accuracy

99.2%

Counts

1 139 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.1%	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/6 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (cbrt.f64 x)))
	5.7%	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x)))
	6.3%	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (.f64 (cbrt.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (cbrt.f64 x)))
	5.7%	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 x (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 0 binary64))))))
✓	8.2%	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
	6.8%	(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x)))
	8.0%	(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))))
	6.3%	(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2/3 binary64))) (pow.f64 x #s(literal 2/3 binary64))) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x)))
	6.2%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2/3 binary64))) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x))) (/.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2/3 binary64))) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x)))) (.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x))))) (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2/3 binary64))) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x)))))
	7.0%	(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
▶	9.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	8.2%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	22.5%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x))
	5.4%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
▶	4.1%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
	47.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)))
	51.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
	51.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
	47.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)))
	25.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (.f64 x x)))
	25.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (.f64 x x)))
✓	24.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
	47.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (.f64 x x)))
	51.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 x (.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
▶	50.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) (*.f64 x x)))
	23.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64))) (*.f64 x x)))
	88.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
	88.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	48.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
	89.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
▶	95.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
	88.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
	95.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64)))
	88.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
	95.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) #s(literal 1/3 binary64)))
	95.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64)))
	88.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (exp.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
▶	52.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
	52.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
✓	51.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))
	52.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
	52.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
	49.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
	52.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))))
	8.1%	#s(approx (+ (* (pow (- x 1) -1/3) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) #s(literal -5/81 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) #s(literal 10/243 binary64))) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (cbrt.f64 #s(literal -1 binary64))))) (.f64 (.f64 x x) x))) (.f64 x x)))

Compiler

Compiled 1 625 to 905 computations (44.3% saved)

simplify31.0ms (0.4%)

Memory

-17.4MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))
cost-diff	0	#s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x)))
cost-diff	0	(/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) (*.f64 x x))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) (*.f64 x x)))
cost-diff	0	(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
cost-diff	0	(cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))
cost-diff	0	(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (cbrt.f64 (+.f64 x #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	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
cost-diff	0	(cbrt.f64 x)
cost-diff	0	(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
cost-diff	0	(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))

Rules

376×	`lower-fma.f32`
374×	`lower-fma.f64`
328×	`lower-*.f32`
318×	`lower-*.f64`
112×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	300
0	71	298
1	96	292
2	116	286
3	160	286
4	215	286
5	259	286
6	309	286
7	350	286
8	436	286
9	474	286
10	514	286
11	533	286
12	557	286
13	581	286
14	616	286
15	647	286
16	657	286
17	659	286
0	659	283

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize284.0ms (3.5%)

Memory

7.3MiB live, 329.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	13.469501982920779	(.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))
accuracy	24.18317630773841	(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
accuracy	28.64050941986212	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	29.740965152233063	(/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) (*.f64 x x))
accuracy	0.49521264652663055	(cbrt.f64 x)
accuracy	0.6474481804613518	(pow.f64 (cbrt.f64 x) #s(literal -6 binary64))
accuracy	1.7819933668824786	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
accuracy	28.64050941986212	(cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.49749765629507237	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	5.008712492530094	(pow.f64 x #s(literal 1/3 binary64))
accuracy	58.748170039331114	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
accuracy	61.3514430301221	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
accuracy	0.33984375	(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))
accuracy	0.49521264652663055	(cbrt.f64 x)
accuracy	0.4980850586106521	(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
accuracy	1.7819933668824786	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))

Samples

149.0ms	197×	1	valid
78.0ms	48×	2	valid
4.0ms	11×	0	valid

Compiler

Compiled 204 to 40 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 42.0ms (21.1% of total)

ival-pow: 37.0ms (18.6% of total)

ival-cbrt: 26.0ms (13.1% of total)

ival-add: 21.0ms (10.6% of total)

adjust: 18.0ms (9.1% of total)

ival-log: 14.0ms (7% of total)

const: 12.0ms (6% of total)

ival-exp: 12.0ms (6% of total)

ival-div: 9.0ms (4.5% of total)

ival-sub: 5.0ms (2.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series36.0ms (0.4%)

Memory

-13.8MiB live, 60.7MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (patch (.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) (patch (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) (.f64 x x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ ( (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) (.f64 x x)) (patch (/.f64 #s(approx (+ ( (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) (patch #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x)) (patch (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

-inf

((- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow x 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (cbrt x) -6)) 1/3) (cbrt (pow (cbrt x) -6)) (pow (cbrt x) -6) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (* (+ (* (cbrt (/ 1 (pow x 5))) -1/9) (* (cbrt (/ 1 (* x x))) 1/3)) (* x x)) (cbrt (/ 1 (* x x))) (cbrt (/ 1 (pow x 5))))

9.0ms

inf

((- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow x 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (cbrt x) -6)) 1/3) (cbrt (pow (cbrt x) -6)) (pow (cbrt x) -6) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (* (+ (* (cbrt (/ 1 (pow x 5))) -1/9) (* (cbrt (/ 1 (* x x))) 1/3)) (* x x)) (cbrt (/ 1 (* x x))) (cbrt (/ 1 (pow x 5))))

6.0ms

((- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow x 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (cbrt x) -6)) 1/3) (cbrt (pow (cbrt x) -6)) (pow (cbrt x) -6) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (* (+ (* (cbrt (/ 1 (pow x 5))) -1/9) (* (cbrt (/ 1 (* x x))) 1/3)) (* x x)) (cbrt (/ 1 (* x x))) (cbrt (/ 1 (pow x 5))))

simplify254.0ms (3.1%)

Memory

40.1MiB live, 192.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 500×	`lower-fma.f64`
9 500×	`lower-fma.f32`
4 810×	`lower-*.f64`
4 810×	`lower-*.f32`
2 884×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	2940
1	491	2783
2	1369	2778
3	3932	2754
4	7963	2754
0	8888	2629

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

Calls

Call 1

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

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

rewrite253.0ms (3.1%)

Memory

-2.9MiB live, 234.9MiB allocated

Rules

9 286×	`lower-fma.f32`
9 284×	`lower-fma.f64`
5 714×	`lower-*.f32`
5 708×	`lower-*.f64`
2 920×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	243
0	71	220
1	222	202
2	1260	193
0	8966	174

Stop Event

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

Counts

19 → 663

Calls

Call 1

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

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

eval196.0ms (2.4%)

Memory: 33.0MiB live, 211.1MiB allocated
Compiler: Compiled 18 312 to 2 200 computations (88% saved)

prune269.0ms (3.3%)

Memory

-4.5MiB live, 309.8MiB allocated

Pruning

52 alts after pruning (45 fresh and 7 done)

	Pruned	Kept	Total
New	909	24	933
Fresh	15	21	36
Picked	1	4	5
Done	1	3	4
Total	926	52	978

Accuracy

99.6%

Counts

978 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.7%	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x)))
✓	8.2%	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
	9.0%	(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
	6.8%	(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x)))
	11.5%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x)))))
▶	11.5%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
	11.5%	(/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))))
	8.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))
	7.9%	(-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
	8.2%	(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
✓	9.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	8.2%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	47.9%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64) (.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) x) x)) (.f64 x x)))
	22.5%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x))
	88.2%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
▶	5.4%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
✓	4.1%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
	25.4%	#s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (.f64 x x)))
	47.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)))
▶	51.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
	51.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
	47.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (.f64 x x)))
	51.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 x (.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
	46.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (fma.f64 (.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64)) (.f64 x x) (.f64 (.f64 (.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) x) x))) (.f64 x x)))
	50.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) (*.f64 x x)))
	51.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64) (.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) x) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x))) (*.f64 x x)))
	23.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64))) (*.f64 x x)))
	23.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64))) (*.f64 x x)))
	88.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
	88.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	88.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
	89.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (/.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (/.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
	95.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
	48.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
	89.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64)))
✓	95.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
	95.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64)))
▶	95.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
	51.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 (neg.f64 x) x))) #s(literal 1/3 binary64)))
	88.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
	95.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) #s(literal 1/3 binary64)))
	95.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64)))
	88.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)))
✓	52.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
▶	52.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
	52.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
✓	51.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))
	52.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
	52.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
	52.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))
	49.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
	8.1%	#s(approx (+ (* (pow (- x 1) -1/3) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) #s(literal -5/81 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) #s(literal 10/243 binary64))) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (cbrt.f64 #s(literal -1 binary64))))) (.f64 (.f64 x x) x))) (.f64 x x)))

Compiler

Compiled 1 474 to 926 computations (37.2% saved)

simplify178.0ms (2.2%)

Memory

-15.1MiB live, 165.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
cost-diff	384	(-.f64 (+.f64 #s(literal 1 binary64) x) x)
cost-diff	0	(*.f64 (cbrt.f64 x) x)
cost-diff	0	(/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
cost-diff	6720	(fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))
cost-diff	0	(pow.f64 x #s(literal -2 binary64))
cost-diff	0	(cbrt.f64 (pow.f64 x #s(literal -2 binary64)))
cost-diff	0	(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
cost-diff	0	(cbrt.f64 x)
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
cost-diff	0	(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))
cost-diff	0	(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)))

Rules

14 302×	`lower-fma.f32`
14 298×	`lower-fma.f64`
2 566×	`lower--.f64`
2 566×	`lower--.f32`
2 434×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	232
0	68	236
1	102	218
2	147	218
3	193	218
4	254	218
5	451	218
6	742	218
7	1691	214
8	3992	214
9	7891	214
0	8320	213

Stop Event

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

Calls

Call 1

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

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

localize392.0ms (4.8%)

Memory

-5.2MiB live, 308.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	5.9421253277815085	(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
accuracy	5.9450741070868345	(pow.f64 x #s(literal 2/3 binary64))
accuracy	29.370747400613144	(cbrt.f64 (fma.f64 x x x))
accuracy	57.154950552421234	(-.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy	0.36947250976844204	(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))
accuracy	0.49521264652663055	(cbrt.f64 x)
accuracy	0.9085184109096378	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
accuracy	29.740965152233063	(/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))
accuracy	0	(pow.f64 x #s(literal -2 binary64))
accuracy	0.33984375	(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))
accuracy	1.7819933668824786	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
accuracy	28.64050941986212	(cbrt.f64 (pow.f64 x #s(literal -2 binary64)))
accuracy	0.49521264652663055	(cbrt.f64 x)
accuracy	60.513964301687544	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
accuracy	0.36556625976844204	(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))
accuracy	0.49521264652663033	(cbrt.f64 (neg.f64 x))
accuracy	0.6143914551372825	(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
accuracy	1.7819933668824786	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)))

Samples

249.0ms	197×	1	valid
59.0ms	48×	2	valid
4.0ms	11×	0	valid

Compiler

Compiled 205 to 43 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

ival-pow: 47.0ms (18.6% of total)

ival-add: 44.0ms (17.4% of total)

ival-cbrt: 41.0ms (16.2% of total)

const: 32.0ms (12.7% of total)

adjust: 24.0ms (9.5% of total)

ival-mult: 17.0ms (6.7% of total)

ival-log: 13.0ms (5.1% of total)

ival-exp: 12.0ms (4.7% of total)

ival-div: 10.0ms (4% of total)

ival-sub: 8.0ms (3.2% of total)

ival-fabs: 4.0ms (1.6% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series100.0ms (1.2%)

Memory

-1.7MiB live, 73.3MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) #<representation binary64>) () ())
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)) (patch (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (cbrt.f64 x) x) (patch (.f64 (cbrt.f64 x) x) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (-.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) (patch (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (patch (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (patch (.f64 #s(literal -1/9 binary64) (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 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 x)) (cbrt -1)) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 x)) (cbrt -1)) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 x)) (cbrt -1)) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt (/ 1 x)) (cbrt -1)) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) (patch (.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/9 (cbrt x)) (taylor 0 x) (#s(alt (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.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 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.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 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.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 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1/9 (cbrt (/ 1 (pow x 5)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)) (patch (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)) (patch (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)) (patch (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)) (patch (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 4)) (taylor 0 x) (#s(alt (.f64 (cbrt.f64 x) x) (patch (.f64 (cbrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 4)) (taylor 0 x) (#s(alt (.f64 (cbrt.f64 x) x) (patch (.f64 (cbrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 4)) (taylor 0 x) (#s(alt (.f64 (cbrt.f64 x) x) (patch (.f64 (cbrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (cbrt (pow x 4)) (taylor 0 x) (#s(alt (.f64 (cbrt.f64 x) x) (patch (.f64 (cbrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (-.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (-.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (-.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (-.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
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#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 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (patch (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

41.0ms

((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow x -2)) 1/3) (cbrt (pow x -2)) (pow x -2) (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (* x x)) (* (cbrt x) x) (- (+ 1 x) x) (/ (- (+ 1 x) x) (+ (+ (cbrt (+ (* x x) x)) (pow x 2/3)) (pow (+ 1 x) 2/3))) (+ 1 x) (+ (+ (cbrt (+ (* x x) x)) (pow x 2/3)) (pow (+ 1 x) 2/3)) (cbrt (neg x)) (* -1/9 (cbrt x)) (cbrt (+ (* x x) x)) (pow x 2/3) (pow (+ 1 x) 2/3))

35.0ms

-inf

((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow x -2)) 1/3) (cbrt (pow x -2)) (pow x -2) (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (* x x)) (* (cbrt x) x) (- (+ 1 x) x) (/ (- (+ 1 x) x) (+ (+ (cbrt (+ (* x x) x)) (pow x 2/3)) (pow (+ 1 x) 2/3))) (+ 1 x) (+ (+ (cbrt (+ (* x x) x)) (pow x 2/3)) (pow (+ 1 x) 2/3)) (cbrt (neg x)) (* -1/9 (cbrt x)) (cbrt (+ (* x x) x)) (pow x 2/3) (pow (+ 1 x) 2/3))

14.0ms

inf

((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow x -2)) 1/3) (cbrt (pow x -2)) (pow x -2) (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (* x x)) (* (cbrt x) x) (- (+ 1 x) x) (/ (- (+ 1 x) x) (+ (+ (cbrt (+ (* x x) x)) (pow x 2/3)) (pow (+ 1 x) 2/3))) (+ 1 x) (+ (+ (cbrt (+ (* x x) x)) (pow x 2/3)) (pow (+ 1 x) 2/3)) (cbrt (neg x)) (* -1/9 (cbrt x)) (cbrt (+ (* x x) x)) (pow x 2/3) (pow (+ 1 x) 2/3))

simplify253.0ms (3.1%)

Memory

-5.9MiB live, 235.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 958×	`lower-fma.f64`
10 958×	`lower-fma.f32`
7 764×	`lower-*.f64`
7 764×	`lower-*.f32`
4 890×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	5303
1	1232	5057
2	3965	5051
0	9216	4887

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 274

Calls

Call 1

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

rewrite216.0ms (2.7%)

Memory

3.7MiB live, 275.8MiB allocated

Rules

4 564×	`lower-*.f32`
4 556×	`lower-*.f64`
4 274×	`lower-/.f32`
4 266×	`lower-/.f64`
3 664×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	196
0	68	201
1	265	156
2	1964	152
0	8761	145

Stop Event

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

Counts

23 → 934

Calls

Call 1

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

eval218.0ms (2.7%)

Memory: 35.8MiB live, 414.9MiB allocated
Compiler: Compiled 34 539 to 3 660 computations (89.4% saved)

prune217.0ms (2.7%)

Memory

-2.7MiB live, 566.2MiB allocated

Pruning

44 alts after pruning (36 fresh and 8 done)

	Pruned	Kept	Total
New	1 392	17	1 409
Fresh	21	19	40
Picked	3	2	5
Done	1	6	7
Total	1 417	44	1 461

Accuracy

99.9%

Counts

1 461 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.7%	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x)))
✓	8.2%	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
	9.0%	(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
	11.5%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.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)))))
	11.6%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
	8.2%	(/.f64 (.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
	51.0%	(/.f64 #s(approx (- (+ 1 x) x) #s(literal 1 binary64)) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
	8.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))
	7.9%	(-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
✓	9.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	8.2%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	97.4%	#s(approx (/ (- (+ 1 x) x) (+ (+ (cbrt (+ (* x x) x)) (pow x 2/3)) (pow (+ 1 x) 2/3))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.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 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) x)))
	5.4%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow.f64 x #s(literal 1/3 binary64)))
	47.9%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64) (.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) x) x)) (.f64 x x)))
	88.2%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
✓	5.4%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
✓	4.1%	#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
	51.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (.f64 x x)))
	97.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)) x))
	51.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) x))) (*.f64 x x)))
	46.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (fma.f64 (.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64)) (.f64 x x) (.f64 (.f64 (.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) x) x))) (.f64 x x)))
	23.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64))) (*.f64 x x)))
	88.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
	51.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))))
	97.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)))))
	88.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	88.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
	48.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
✓	95.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
	95.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64)))
	64.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))))
✓	95.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
	97.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)))
	88.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
	95.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) #s(literal 1/3 binary64)))
	51.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))
	51.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
	97.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x))))
	73.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (neg.f64 x))))
	95.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64)))
	52.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
✓	51.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))
	52.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
	49.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))

Compiler

Compiled 2 245 to 766 computations (65.9% saved)

regimes59.0ms (0.7%)

Memory

-8.2MiB live, 149.6MiB allocated

Counts

101 → 1

Calls

Call 1

Inputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (neg.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (exp.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 (neg.f64 x) x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 x (.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64) (.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) x) x)) (.f64 x x)))
(/.f64 (.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (fma.f64 (.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64)) (.f64 x x) (.f64 (.f64 (.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) x) x))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
(-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x)))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x))
(/.f64 #s(approx (- (+ 1 x) x) #s(literal 1 binary64)) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.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 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x)))))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 x (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 0 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (.f64 x x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (/.f64 (.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) (.f64 x x))) (*.f64 x x)))
#s(approx (/ (- (+ 1 x) x) (+ (+ (cbrt (+ (* x x) x)) (pow x 2/3)) (pow (+ 1 x) 2/3))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.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 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) 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 (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 (cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/6 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (cbrt.f64 x)))
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 x) x)) (cbrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x))
(/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (* (* (* x x) x) x)) 1/3) (* -1/9 (cbrt x))) (.f64 (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64) (.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) x) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x))) (*.f64 x x)))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (.f64 (cbrt.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64) (.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (.f64 x x)))
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2/3 binary64))) (pow.f64 x #s(literal 2/3 binary64))) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (/.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (/.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (pow (- x 1) -1/3) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) #s(literal -5/81 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) #s(literal 10/243 binary64))) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (cbrt.f64 #s(literal -1 binary64))))) (.f64 (.f64 x x) x))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 16 binary64))))) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2/3 binary64))) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x))) (/.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2/3 binary64))) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x)))) (.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x))))) (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2/3 binary64))) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 x)))))

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)))

Calls

2 calls:

29.0ms	x
25.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.2%)

Memory

-4.1MiB live, 35.2MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.2%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
92.9%	2	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

16.4MiB live, 16.3MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
92.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory

-24.2MiB live, 15.1MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
91.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
91.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Memory

-15.7MiB live, 23.6MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (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
88.2%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
88.2%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.2%	1	`x`
88.2%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))

Outputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
5.4%	1	`x`
5.4%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))

Outputs
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
4.1%	1	`x`
4.1%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch17.0ms (0.2%)

Memory

-5.6MiB live, 35.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.199722714672096e+153	1.7594913593099462e+155

Samples

11.0ms

112×

valid

Compiler

Compiled 186 to 136 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

adjust: 3.0ms (36.5% of total)

ival-cbrt: 3.0ms (36.5% of total)

ival-add: 1.0ms (12.2% of total)

ival-sub: 1.0ms (12.2% 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

3.2MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.199722714672096e+153	1.7594913593099462e+155

Compiler

Compiled 179 to 129 computations (27.9% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.199722714672096e+153	1.7594913593099462e+155

Compiler

Compiled 158 to 122 computations (22.8% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.199722714672096e+153	1.7594913593099462e+155

Compiler

Compiled 144 to 108 computations (25% saved)

simplify7.0ms (0.1%)

Memory

-23.8MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	215
1	60	215

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #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)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x) (/.f64 (cbrt.f64 x) x)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64)) (cbrt.f64 x)) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) (cbrt.f64 x)) (.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #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)) (pow (exp 1/3) (log x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64))

soundness1.2s (14.9%)

Memory

-12.6MiB live, 983.8MiB allocated

Rules

8 062×	`lower-fma.f64`
8 062×	`lower-fma.f32`
7 108×	`lower-fma.f32`
7 102×	`lower-fma.f64`
6 306×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	196
0	68	201
1	265	156
2	1964	152
0	8761	145
0	6	16
0	10	16
1	43	16
2	282	16
3	3101	16
0	9092	16
0	146	602
1	350	564
2	902	564
3	2613	561
4	5974	561
0	8120	528
0	37	169
0	64	158
1	214	139
2	1453	139
0	8719	132
0	353	3315
1	959	3106
2	2821	3082
3	6498	3047
0	8609	2891

Stop Event

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

Compiler

Compiled 457 to 251 computations (45.1% saved)

preprocess67.0ms (0.8%)

Memory: -10.9MiB live, 183.8MiB allocated
Compiler: Compiled 306 to 102 computations (66.7% 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	48	300
0	71	298
1	96	292
2	116	286
3	160	286
4	215	286
5	259	286
6	309	286
7	350	286
8	436	286
9	474	286
10	514	286
11	533	286
12	557	286
13	581	286
14	616	286
15	647	286
16	657	286
17	659	286
0	659	283

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	48	300
0	71	298
1	96	292
2	116	286
3	160	286
4	215	286
5	259	286
6	309	286
7	350	286
8	436	286
9	474	286
10	514	286
11	533	286
12	557	286
13	581	286
14	616	286
15	647	286
16	657	286
17	659	286
0	659	283

start0.0ms (0%)

analyze2.0ms (0%)

sample1.8s (22.3%)

explain112.0ms (1.4%)

preprocess25.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize42.0ms (0.5%)

series14.0ms (0.2%)

simplify131.0ms (1.6%)

rewrite151.0ms (1.9%)

eval46.0ms (0.6%)

prune77.0ms (0.9%)

simplify178.0ms (2.2%)

localize317.0ms (3.9%)

series144.0ms (1.8%)

simplify211.0ms (2.6%)

rewrite179.0ms (2.2%)

eval201.0ms (2.5%)

prune179.0ms (2.2%)

simplify31.0ms (0.4%)

localize284.0ms (3.5%)

series36.0ms (0.4%)

simplify254.0ms (3.1%)

rewrite253.0ms (3.1%)

eval196.0ms (2.4%)

prune269.0ms (3.3%)

simplify178.0ms (2.2%)

localize392.0ms (4.8%)

series100.0ms (1.2%)

simplify253.0ms (3.1%)

rewrite216.0ms (2.7%)

eval218.0ms (2.7%)

prune217.0ms (2.7%)

regimes59.0ms (0.7%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

soundness1.2s (14.9%)

preprocess67.0ms (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

Iter	Nodes	Cost
0	48	300
0	71	298
1	96	292
2	116	286
3	160	286
4	215	286
5	259	286
6	309	286
7	350	286
8	436	286
9	474	286
10	514	286
11	533	286
12	557	286
13	581	286
14	616	286
15	647	286
16	657	286
17	659	286
0	659	283