Metrics for 2cbrt (problem 3.3.4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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 (19.9%)

Memory

53.7MiB live, 1 690.8MiB allocated

Samples

1.0s	6 359×	1	valid
351.0ms	1 643×	2	valid
15.0ms	254×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 980.0ms

ival-cbrt: 248.0ms (25.3% of total)

const: 204.0ms (20.8% of total)

ival-add: 177.0ms (18.1% of total)

adjust: 163.0ms (16.6% of total)

ival-sub: 119.0ms (12.1% of total)

ival->: 27.0ms (2.8% of total)

ival-<: 20.0ms (2% of total)

ival-and: 11.0ms (1.1% of total)

exact: 7.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain111.0ms (1.3%)

Memory

2.2MiB live, 198.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(-.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	254	1

Confusion

	Predicted +	Predicted -
+	254	1
-	0	1

Precision

1.0

Recall

0.996078431372549

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	1	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	388×	1	valid
21.0ms	114×	2	valid
0.0ms	10×	0	valid

Compiler

Compiled 48 to 22 computations (54.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-cbrt: 18.0ms (46.1% of total)

adjust: 10.0ms (25.6% of total)

ival-add: 6.0ms (15.4% of total)

ival-sub: 5.0ms (12.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess21.0ms (0.2%)

Memory

-12.8MiB live, 25.5MiB 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))

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB 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))
(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(cbrt.f64 x)

localize38.0ms (0.4%)

Memory

17.5MiB live, 56.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.5127525879159782	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	0.5127525879159782	(cbrt.f64 x)
accuracy	59.7351728008667	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Samples

21.0ms	194×	1	valid
9.0ms	57×	2	valid
0.0ms	5×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cbrt: 8.0ms (39.9% of total)

adjust: 6.0ms (29.9% of total)

ival-add: 3.0ms (15% of total)

ival-sub: 3.0ms (15% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-18.9MiB live, 22.1MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(- (cbrt (+ x 1)) (cbrt x))
4.0ms	x	@	-inf	(- (cbrt (+ x 1)) (cbrt x))
1.0ms	x	@	0	(cbrt x)
1.0ms	x	@	inf	(cbrt x)
1.0ms	x	@	-inf	(cbrt x)

simplify188.0ms (2.1%)

Memory

-20.1MiB live, 269.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite228.0ms (2.6%)

Memory

34.8MiB live, 347.5MiB 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
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64)))
(+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
(-.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (cbrt.f64 x))
(fma.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (cbrt.f64 x) #s(literal -1 binary64) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))))
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(/.f64 (.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
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(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x x)))) (exp.f64 (log1p.f64 (fma.f64 x x x))))
(/.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))))) (cbrt.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (exp.f64 (log1p.f64 (.f64 x (*.f64 x x)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 x x x)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))))
(.f64 (cbrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2/3 binary64)))
(cbrt.f64 x)
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1/9 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))

eval87.0ms (1%)

Memory: -29.8MiB live, 130.0MiB allocated
Compiler: Compiled 8 225 to 1 300 computations (84.2% saved)

prune123.0ms (1.4%)

Memory

5.8MiB live, 243.2MiB allocated

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	373	30	403
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	373	31	404

Accuracy

50.8%

Counts

404 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.0%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
	4.2%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x)))
	7.5%	(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
	7.5%	(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x)))
	8.6%	(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
	4.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	5.1%	(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
	7.4%	(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 x))
	6.8%	(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
	7.5%	(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (cbrt.f64 x))
	4.8%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
	7.5%	(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
	5.8%	(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (.f64 x (sqrt.f64 x))) (cbrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (cbrt.f64 x))
▶	6.7%	(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
	7.0%	(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x))
▶	6.6%	(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
	7.5%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
	7.5%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
	7.5%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
	6.7%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
	7.5%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
▶	7.5%	(-.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))))
	6.9%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
✓	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	5.7%	(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
	4.1%	(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
▶	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
	4.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	24.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x)))
	24.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
▶	49.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))

Compiler

Compiled 824 to 550 computations (33.3% saved)

simplify63.0ms (0.7%)

Memory

18.5MiB live, 57.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
cost-diff	0	(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
cost-diff	12864	(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 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))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
cost-diff	0	(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff	0	(cbrt.f64 x)
cost-diff	0	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	0	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))

Rules

496×	`lower-fma.f64`
496×	`lower-fma.f32`
372×	`lower-*.f32`
366×	`lower-*.f64`
270×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	169
0	51	148
1	74	148
2	106	148
3	143	148
4	199	148
5	277	148
6	390	148
7	519	148
8	872	148
9	1032	148
10	1100	148
11	1147	148
12	1170	148
13	1249	148
14	1269	148
15	1293	148
16	1303	148
17	1305	148
0	1305	148

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize511.0ms (5.8%)

Memory

-28.6MiB live, 339.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5026550781475363	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	0.5049400879159779	(cbrt.f64 x)
accuracy	0.7641564942110507	(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
accuracy	59.25122945641785	(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
accuracy	0.5026550781475363	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	3.639923947454713	(pow.f64 x #s(literal 1/9 binary64))
accuracy	4.53714777100824	(pow.f64 x #s(literal 2/9 binary64))
accuracy	59.25122945641785	(-.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))))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
accuracy	0.5026550781475362	(cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
accuracy	0.5049400879159779	(cbrt.f64 x)
accuracy	59.25122945641785	(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
accuracy	0.5049400879159779	(cbrt.f64 x)
accuracy	58.59390289466384	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
accuracy	59.25122945641785	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
accuracy	0.390625	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
accuracy	0.7562185809142603	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	1.064797418094601	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
accuracy	30.459866939360673	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))

Samples

356.0ms	192×	1	valid
67.0ms	57×	2	valid
3.0ms	5×	0	valid
2.0ms	2×	5	exit

Compiler

Compiled 158 to 29 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 383.0ms

const: 251.0ms (65.6% of total)

ival-pow: 52.0ms (13.6% of total)

ival-cbrt: 21.0ms (5.5% of total)

adjust: 17.0ms (4.4% of total)

ival-mult: 13.0ms (3.4% of total)

ival-sub: 10.0ms (2.6% of total)

ival-div: 9.0ms (2.4% of total)

ival-copysign: 4.0ms (1% of total)

ival-add: 3.0ms (0.8% of total)

ival-fabs: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series135.0ms (1.5%)

Memory

18.5MiB live, 222.2MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
58.0ms	x	@	0	(- (cbrt (+ x 1)) (* (pow x 2/9) (pow x 1/9)))
14.0ms	x	@	-inf	(* (pow x 2/9) (pow x 1/9))
13.0ms	x	@	-inf	(pow x 1/9)
9.0ms	x	@	-inf	(pow x 2/9)
7.0ms	x	@	0	(pow x 2/9)

simplify252.0ms (2.9%)

Memory

5.6MiB live, 391.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 646×	`lower-fma.f64`
10 646×	`lower-fma.f32`
4 178×	`lower-*.f64`
4 178×	`lower-*.f32`
2 300×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	120259087034
1	508	120259086868
2	1571	85899348696
3	4297	85899348674
0	8207	2678

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 234

Calls

Call 1

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

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

rewrite319.0ms (3.6%)

Memory

-11.5MiB live, 472.6MiB allocated

Rules

9 500×	`lower-fma.f64`
9 500×	`lower-fma.f32`
4 816×	`lower-*.f32`
4 810×	`lower-*.f64`
3 028×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	138
0	51	107
1	180	99
2	834	99
0	8395	95

Stop Event

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

Counts

20 → 1 502

Calls

Call 1

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

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (.f64 x (neg.f64 x))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 x))
(/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 x (neg.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2/3 binary64)) #s(literal -1/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1/3 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal -1/3 binary64)) (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (-.f64 #s(literal -1 binary64) x)))
(exp.f64 (*.f64 #s(literal 2/9 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/9 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/9 binary64) (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2/9 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/18 binary64))
(pow.f64 (exp.f64 #s(literal 2/9 binary64)) (log.f64 x))
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/9 binary64)))
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 1/36 binary64)) (.f64 (pow.f64 x #s(literal 1/36 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/18 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/9 binary64)) (pow.f64 x #s(literal 2/9 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/9 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/9 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2/9 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/9 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/36 binary64))) (pow.f64 x #s(literal 1/36 binary64)))
(exp.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/18 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/18 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/18 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/18 binary64) (*.f64 (log.f64 x) #s(literal 1/18 binary64))))
(pow.f64 x #s(literal 1/9 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/18 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 x))
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/18 binary64)))
(.f64 (pow.f64 x #s(literal 1/36 binary64)) (.f64 (pow.f64 x #s(literal 1/36 binary64)) (pow.f64 x #s(literal 1/18 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/36 binary64))) (pow.f64 x #s(literal 1/36 binary64)))

eval328.0ms (3.7%)

Memory: 56.8MiB live, 517.3MiB allocated
Compiler: Compiled 43 645 to 4 510 computations (89.7% saved)

prune324.0ms (3.7%)

Memory

-59.9MiB live, 403.3MiB allocated

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	2 275	28	2 303
Fresh	19	6	25
Picked	3	2	5
Done	0	1	1
Total	2 297	37	2 334

Accuracy

99.5%

Counts

2 334 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.2%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x)))
	4.3%	(fma.f64 (pow.f64 x #s(literal 5/18 binary64)) (neg.f64 (pow.f64 x #s(literal 1/18 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
	47.8%	(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x)))))
	47.8%	(/.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)))))
	4.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	7.4%	(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 x))
	7.5%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
▶	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
✓	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
	24.3%	#s(approx (- (cbrt (pow (cbrt (+ x 1)) 3)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
	24.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x)))
	24.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
	90.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))))
	90.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64))))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)))
▶	49.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 x (neg.f64 x)))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
	45.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
▶	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
	90.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64)))))
	96.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
	49.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 x (neg.f64 x))))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
▶	96.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))))
	96.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
	89.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))))
	26.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2 binary64)))))
▶	50.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))
	50.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓	49.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
	50.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))))))
	50.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 870 to 577 computations (33.7% saved)

simplify34.0ms (0.4%)

Memory

22.3MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))))
cost-diff	320	(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
cost-diff	7744	(/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
cost-diff	0	(cbrt.f64 #s(literal -1 binary64))
cost-diff	0	(*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 x (neg.f64 x))))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 x (neg.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 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))
cost-diff	0	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
cost-diff	64	(pow.f64 x #s(literal 1/3 binary64))
cost-diff	0	(cbrt.f64 x)
cost-diff	0	(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))

Rules

302×	`lower-fma.f64`
302×	`lower-fma.f32`
258×	`lower-*.f32`
248×	`lower-*.f64`
126×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	184
0	50	178
1	74	170
2	104	170
3	139	170
4	163	170
5	195	170
6	266	170
7	323	170
8	400	170
9	444	170
10	627	170
11	766	170
12	837	170
13	857	170
14	861	170
0	861	162

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize217.0ms (2.5%)

Memory

13.8MiB live, 165.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.328125	(/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
accuracy	0.390625	(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
accuracy	0.5127525879159783	(cbrt.f64 x)
accuracy	1.068703668094601	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))))
accuracy	0	(cbrt.f64 #s(literal -1 binary64))
accuracy	0.39453125	(/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 x (neg.f64 x))))
accuracy	1.068703668094601	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 x (neg.f64 x)))))
accuracy	31.453554075098168	(cbrt.f64 (*.f64 x (neg.f64 x)))
accuracy	0	(pow.f64 x #s(literal -2 binary64))
accuracy	0.390625	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
accuracy	1.068703668094601	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))
accuracy	30.467679439360673	(cbrt.f64 (pow.f64 x #s(literal -2 binary64)))
accuracy	5.144015157208987	(pow.f64 x #s(literal 1/3 binary64))
accuracy	59.032650456504555	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
accuracy	59.7351728008667	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
accuracy	0.390625	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
accuracy	0.5127525879159783	(cbrt.f64 x)
accuracy	0.5185737793053261	(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
accuracy	1.068703668094601	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))

Samples

125.0ms	195×	1	valid
26.0ms	56×	2	valid
1.0ms	5×	0	valid

Compiler

Compiled 145 to 26 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 58.0ms (52.2% of total)

ival-cbrt: 12.0ms (10.8% of total)

ival-div: 11.0ms (9.9% of total)

adjust: 10.0ms (9% of total)

ival-pow: 8.0ms (7.2% of total)

const: 4.0ms (3.6% of total)

ival-sub: 3.0ms (2.7% of total)

ival-add: 3.0ms (2.7% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

-11.3MiB live, 25.6MiB allocated

Counts

20 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(* 1/3 (/ 1 (/ (cbrt x) (/ 1 (cbrt x)))))
2.0ms	x	@	-inf	(* 1/3 (pow (cbrt x) -2))
1.0ms	x	@	-inf	(pow x 1/3)
1.0ms	x	@	0	(pow x 1/3)
0.0ms	x	@	-inf	(/ (cbrt x) (/ 1 (cbrt x)))

simplify221.0ms (2.5%)

Memory

-12.2MiB live, 188.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 412×	`lower-fma.f64`
6 412×	`lower-fma.f32`
4 814×	`lower-*.f64`
4 814×	`lower-*.f32`
1 548×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	2660
1	359	2498
2	931	2498
3	2389	2495
4	5891	2495
0	8158	2390

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite478.0ms (5.4%)

Memory

17.3MiB live, 384.7MiB allocated

Rules

7 240×	`lower-fma.f64`
7 240×	`lower-fma.f32`
4 160×	`lower-*.f32`
4 154×	`lower-*.f64`
3 176×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	157
0	50	134
1	153	128
2	802	128
3	7625	128
0	8540	115

Stop Event

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

Counts

20 → 1 139

Calls

Call 1

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

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

eval407.0ms (4.6%)

Memory: -4.5MiB live, 300.0MiB allocated
Compiler: Compiled 21 357 to 2 121 computations (90.1% saved)

prune181.0ms (2%)

Memory

8.4MiB live, 295.5MiB allocated

Pruning

45 alts after pruning (37 fresh and 8 done)

	Pruned	Kept	Total
New	1 519	12	1 531
Fresh	4	25	29
Picked	0	5	5
Done	0	3	3
Total	1 523	45	1 568

Accuracy

99.6%

Counts

1 568 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.2%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x)))
	4.3%	(fma.f64 (pow.f64 x #s(literal 5/18 binary64)) (neg.f64 (pow.f64 x #s(literal 1/18 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
	47.8%	(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x)))))
	47.8%	(/.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)))))
	4.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	7.4%	(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 x))
	7.5%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
▶	5.3%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
✓	1.8%	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
	24.3%	#s(approx (- (cbrt (pow (cbrt (+ x 1)) 3)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
	24.5%	#s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x)))
	24.3%	#s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
▶	90.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))))
	90.4%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64))))
▶	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)))
✓	49.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 x (neg.f64 x)))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
	96.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (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))))
	45.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
✓	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
	90.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64)))))
	96.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
	96.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))))))))
✓	96.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))))
	91.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/2 binary64)))))))
	49.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
	96.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
	89.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64)))))
	26.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2 binary64)))))
✓	50.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))
▶	50.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓	49.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
	50.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))))))
	50.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
	89.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64))))

Compiler

Compiled 1 010 to 671 computations (33.6% saved)

simplify38.0ms (0.4%)

Memory

5.8MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (cbrt.f64 x))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))
cost-diff	7040	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x)))
cost-diff	0	(pow.f64 x #s(literal 5/9 binary64))
cost-diff	0	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64)))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))))
cost-diff	384	(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))
cost-diff	0	(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(cbrt.f64 (neg.f64 x))
cost-diff	0	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
cost-diff	0	(cbrt.f64 x)
cost-diff	0	(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))
cost-diff	0	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
cost-diff	384	(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))

Rules

342×	`lower-fma.f32`
340×	`lower-fma.f64`
278×	`lower-*.f32`
276×	`lower-*.f64`
132×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	165
0	51	158
1	74	158
2	89	158
3	108	158
4	135	158
5	193	158
6	277	158
7	358	158
8	426	158
9	499	158
10	555	158
11	653	158
12	806	158
13	858	158
14	878	158
15	892	158
16	894	158
0	894	158

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize264.0ms (3%)

Memory

-11.0MiB live, 339.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (cbrt.f64 x))
accuracy	0.5127525879159783	(cbrt.f64 x)
accuracy	4.192967871666736	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))
accuracy	60.00662330398211	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x)))
accuracy	0.3834762695368841	(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))
accuracy	1.068703668094601	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))))
accuracy	3.6523064669915972	(pow.f64 x #s(literal 1/9 binary64))
accuracy	5.494471424700393	(pow.f64 x #s(literal 5/9 binary64))
accuracy	0.15234375	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	0.390625	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
accuracy	1.068703668094601	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
accuracy	30.467679439360673	(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
accuracy	0	(neg.f64 x)
accuracy	0.015625	(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
accuracy	0.5127525879159782	(cbrt.f64 (neg.f64 x))
accuracy	59.032650456504555	#s(approx (cbrt (+ x 1)) #s(literal 1 binary64))
accuracy	0.32421875	(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))
accuracy	0.344413769536884	(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
accuracy	0.5127525879159783	(cbrt.f64 x)
accuracy	1.068703668094601	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))

Samples

126.0ms	194×	1	valid
87.0ms	57×	2	valid
1.0ms	5×	0	valid

Compiler

Compiled 137 to 32 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-pow: 50.0ms (27.3% of total)

const: 29.0ms (15.8% of total)

ival-fabs: 22.0ms (12% of total)

adjust: 21.0ms (11.5% of total)

ival-div: 15.0ms (8.2% of total)

ival-neg: 12.0ms (6.5% of total)

ival-cbrt: 11.0ms (6% of total)

ival-add: 6.0ms (3.3% of total)

ival-copysign: 6.0ms (3.3% of total)

ival-sub: 5.0ms (2.7% of total)

ival-mult: 5.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series97.0ms (1.1%)

Memory

-13.9MiB live, 125.1MiB allocated

Counts

21 → 252

Calls

Call 1

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

Outputs
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ())) ())
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#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 (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x))) #<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 (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x))) #<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 (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x))) #<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 (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 x)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/6 (* -5/72 x)))) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/6) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cbrt x)) (taylor 0 x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cbrt x)) (taylor 0 x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cbrt x)) (taylor 0 x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cbrt x)) (taylor 0 x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cbrt x)) (taylor inf x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cbrt x)) (taylor inf x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cbrt x)) (taylor inf x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cbrt x)) (taylor inf x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt x) (cbrt -1)) (taylor -inf x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt x) (cbrt -1)) (taylor -inf x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt x) (cbrt -1)) (taylor -inf x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (cbrt x) (cbrt -1)) (taylor -inf x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/9) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/9) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/9) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/9) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/9) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/9) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/9) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/9) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	(/ 1/3 (pow x 5/9))
10.0ms	x	@	-inf	(pow x 1/9)
8.0ms	x	@	inf	(pow x 5/9)
8.0ms	x	@	0	(/ 1/3 (pow x 5/9))
7.0ms	x	@	-inf	(pow x 5/9)

simplify259.0ms (2.9%)

Memory

20.7MiB live, 363.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 818×	`lower-fma.f64`
8 818×	`lower-fma.f32`
3 468×	`lower-*.f64`
3 468×	`lower-*.f32`
2 388×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	103079217914
1	620	103079217767
2	1807	103079217717
3	4003	103079217669
4	7415	103079217669
0	8114	2571

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

Inputs
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(* 1/3 (cbrt (/ 1 x)))
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(cbrt x)
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* (cbrt x) (cbrt -1)))
(- 1 (* (cbrt x) (cbrt -1)))
(- (+ 1 (* 1/3 x)) (* (cbrt x) (cbrt -1)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (* (cbrt x) (cbrt -1)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (* (cbrt x) (cbrt -1)))
(* x (- (cbrt (/ 1 (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))
(* x (- (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))
(* x (- (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))
(* 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 (/ 1 (pow x 2))) (cbrt -1))))
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ 1 (pow x 2))))))
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ 1 (pow x 2))))))
(* -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))) (cbrt (/ 1 (pow x 2))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ 1 (pow x 2))))))
1
(+ 1 (* 1/3 x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(* 1/3 (pow (/ 1 (pow x 5)) 1/9))
(* 1/3 (pow (/ 1 (pow x 5)) 1/9))
(* 1/3 (pow (/ 1 (pow x 5)) 1/9))
(* 1/3 (pow (/ 1 (pow x 5)) 1/9))
(* 1/3 (pow (/ 1 (pow x 5)) 1/9))
(* 1/3 (pow (/ 1 (pow x 5)) 1/9))
(* 1/3 (pow (/ 1 (pow x 5)) 1/9))
(* 1/3 (pow (/ 1 (pow x 5)) 1/9))
(* 1/3 (exp (* 1/9 (+ (log -1) (* 5 (log (/ -1 x)))))))
(* 1/3 (exp (* 1/9 (+ (log -1) (* 5 (log (/ -1 x)))))))
(* 1/3 (exp (* 1/9 (+ (log -1) (* 5 (log (/ -1 x)))))))
(* 1/3 (exp (* 1/9 (+ (log -1) (* 5 (log (/ -1 x)))))))
(pow (* 1 (pow x 5)) 1/9)
(pow (* 1 (pow x 5)) 1/9)
(pow (* 1 (pow x 5)) 1/9)
(pow (* 1 (pow x 5)) 1/9)
(pow (* 1 (pow x 5)) 1/9)
(pow (* 1 (pow x 5)) 1/9)
(pow (* 1 (pow x 5)) 1/9)
(pow (* 1 (pow x 5)) 1/9)
(exp (* 1/9 (+ (log -1) (* -5 (log (/ -1 x))))))
(exp (* 1/9 (+ (log -1) (* -5 (log (/ -1 x))))))
(exp (* 1/9 (+ (log -1) (* -5 (log (/ -1 x))))))
(exp (* 1/9 (+ (log -1) (* -5 (log (/ -1 x))))))
(- 1 (cbrt x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
1
(+ 1 (* 1/6 x))
(+ 1 (* x (+ 1/6 (* -5/72 x))))
(+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72)))))
(pow (* 1 x) 1/6)
(+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))
(+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)))
(+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))))
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* -1 (cbrt x))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(* (cbrt x) (cbrt -1))
(pow (* 1 x) 1/9)
(pow (* 1 x) 1/9)
(pow (* 1 x) 1/9)
(pow (* 1 x) 1/9)
(pow (* 1 x) 1/9)
(pow (* 1 x) 1/9)
(pow (* 1 x) 1/9)
(pow (* 1 x) 1/9)
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x))))))

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

rewrite240.0ms (2.7%)

Memory

-10.3MiB live, 472.9MiB allocated

Rules

3 844×	`lower-fma.f32`
3 842×	`lower-fma.f64`
3 404×	`lower-*.f32`
3 402×	`lower-*.f64`
2 966×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	146
0	51	131
1	183	121
2	1081	119
0	9233	112

Stop Event

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

Counts

21 → 1 030

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/9 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 1/9 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/9 binary64))) (neg.f64 (pow.f64 x #s(literal 1/9 binary64)))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/9 binary64))) (neg.f64 (pow.f64 x #s(literal 5/9 binary64)))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/9 binary64)) (neg.f64 (pow.f64 x #s(literal 5/9 binary64))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal 1/9 binary64))) (neg.f64 (.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -5/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal 1/9 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal 5/9 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 5/9 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/18 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))) (pow.f64 x #s(literal -1/18 binary64)))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))) (neg.f64 (pow.f64 x #s(literal 1/9 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 1/9 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 1/9 binary64)) (neg.f64 (.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal 1/9 binary64))) (.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))) (neg.f64 (pow.f64 x #s(literal 1/9 binary64))))
(/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))))
(/.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/9 binary64)) (neg.f64 (pow.f64 x #s(literal 5/9 binary64)))))
(/.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 x #s(literal 5/9 binary64)) (neg.f64 (pow.f64 x #s(literal 1/9 binary64)))))
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64))))
(/.f64 (pow.f64 x #s(literal -1/9 binary64)) (*.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 (cbrt.f64 x) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/18 binary64))) (.f64 (pow.f64 x #s(literal 5/9 binary64)) (pow.f64 x #s(literal 1/18 binary64))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/9 binary64))) (neg.f64 (pow.f64 x #s(literal 5/9 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64)))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))) (pow.f64 x #s(literal -1/18 binary64))) (pow.f64 x #s(literal 1/18 binary64)))
(/.f64 (pow.f64 x #s(literal -1/18 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/18 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/18 binary64))) (.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 1/18 binary64))))
(/.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 binary64) (cbrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/18 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/18 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/18 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 5/18 binary64)) (pow.f64 x #s(literal 1/9 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/18 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 5/18 binary64)) (neg.f64 (pow.f64 x #s(literal 1/9 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/18 binary64))) (pow.f64 x #s(literal -1/18 binary64))) (*.f64 (pow.f64 x #s(literal 5/18 binary64)) (pow.f64 x #s(literal 1/18 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/18 binary64)))) (pow.f64 x #s(literal 7/18 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/18 binary64)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/18 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/18 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 11/18 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 1/18 binary64)) (*.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64))))
(/.f64 (.f64 (pow.f64 x #s(literal -1/18 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 1/18 binary64)) (neg.f64 (*.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal -1/18 binary64)) #s(literal -1/3 binary64)) (.f64 (pow.f64 x #s(literal 1/18 binary64)) (neg.f64 (pow.f64 x #s(literal 5/9 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal -1/18 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/18 binary64)))) (cbrt.f64 x))
(/.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)) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/9 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/9 binary64)))) (pow.f64 x #s(literal 5/9 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/9 binary64)))) (neg.f64 (pow.f64 x #s(literal 5/9 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))) (pow.f64 x #s(literal -1/18 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/18 binary64))))
(pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/9 binary64)) (pow.f64 x #s(literal 5/9 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 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))) (pow.f64 x #s(literal -1/9 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/9 binary64))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))))))
(.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))) (pow.f64 x #s(literal -1/9 binary64)))
(.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/9 binary64))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))))
(.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))))
(.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/9 binary64)) (neg.f64 (pow.f64 x #s(literal 5/9 binary64))))))
(.f64 (pow.f64 x #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))))
(*.f64 (pow.f64 x #s(literal -5/9 binary64)) (/.f64 (pow.f64 x #s(literal -1/9 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal -1/3 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/18 binary64))) (pow.f64 x #s(literal -11/18 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/18 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal -5/9 binary64))) (pow.f64 x #s(literal 1/18 binary64))))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/18 binary64))) (/.f64 (pow.f64 x #s(literal -5/9 binary64)) (neg.f64 (pow.f64 x #s(literal 1/18 binary64)))))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/18 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/18 binary64))))
(.f64 (pow.f64 x #s(literal -11/18 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/18 binary64))))
(*.f64 (pow.f64 x #s(literal -11/18 binary64)) (/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal 1/18 binary64)))))
(.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5/9 binary64))))
(.f64 (pow.f64 x #s(literal -5/18 binary64)) (/.f64 (pow.f64 x #s(literal -1/9 binary64)) (.f64 (pow.f64 x #s(literal 5/18 binary64)) #s(literal 3 binary64))))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/9 binary64))) (pow.f64 x #s(literal -5/9 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/9 binary64))) (pow.f64 x #s(literal -1/18 binary64))) (pow.f64 x #s(literal -1/18 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/18 binary64))) (/.f64 (pow.f64 x #s(literal -1/9 binary64)) (pow.f64 x #s(literal 5/18 binary64))))
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(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)))

eval221.0ms (2.5%)

Memory: 23.6MiB live, 598.1MiB allocated
Compiler: Compiled 24 774 to 2 488 computations (90% saved)

prune259.0ms (2.9%)

Memory

5.6MiB live, 617.1MiB allocated

Pruning

50 alts after pruning (41 fresh and 9 done)

	Pruned	Kept	Total
New	1 517	14	1 531
Fresh	5	27	32
Picked	2	3	5
Done	2	6	8
Total	1 526	50	1 576

Accuracy

99.8%

Counts

1 576 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	4.2%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x)))
	4.3%	(fma.f64 (pow.f64 x #s(literal 5/18 binary64)) (neg.f64 (pow.f64 x #s(literal 1/18 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
	47.8%	(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x)))))
	47.8%	(/.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)))))
	4.2%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	7.4%	(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 x))
	7.5%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	6.6%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	5.3%	(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
	24.5%	#s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x)))
	24.3%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x (.f64 x x)) x)) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) #s(literal 3 binary64))) (cbrt.f64 x)))
	90.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 #s(literal 5/9 binary64)) (log.f64 x))) (pow.f64 x #s(literal 1/9 binary64))))
	47.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 0 binary64))))) (cbrt.f64 x)))
	96.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #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))))) (cbrt.f64 x)))
	47.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 0 binary64))))))
	96.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))))
✓	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (cbrt.f64 x)))
	88.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/18 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 11/18 binary64))))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)))
✓	49.2%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 x (neg.f64 x)))))
	91.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (cbrt.f64 x)))
	97.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	88.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 x #s(literal -11/18 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/18 binary64)))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
	96.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (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))))
	45.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
✓	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
	96.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
	96.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
	89.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
✓	96.8%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))))
	91.9%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/2 binary64)))))))
	49.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
	88.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal -1/18 binary64)) (pow.f64 x #s(literal -11/18 binary64)))))
	96.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
	89.1%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64)))))
	26.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2 binary64)))))
✓	50.6%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))
✓	50.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
✓	49.0%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
	50.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))))))
	50.5%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
	89.7%	#s(approx (- (cbrt (+ x 1)) (cbrt x)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64))))

Compiler

Compiled 1 628 to 698 computations (57.1% saved)

regimes51.0ms (0.6%)

Memory

-13.0MiB live, 142.8MiB allocated

Counts

85 → 1

Calls

Call 1

Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.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) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal -1/18 binary64)) (pow.f64 x #s(literal -11/18 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 x #s(literal -11/18 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/18 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/18 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 11/18 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 x (neg.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 x (neg.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) #s(literal 3 binary64))) (cbrt.f64 x)))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 0 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 0 binary64))))) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x (.f64 x x)) x)) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.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 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 5/18 binary64)) (neg.f64 (pow.f64 x #s(literal 1/18 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x)))
#s(approx (- (cbrt (pow (cbrt (+ x 1)) 3)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (.f64 x x)))
(/.f64 #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)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 #s(literal 5/9 binary64)) (log.f64 x))) (pow.f64 x #s(literal 1/9 binary64))))
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (.f64 x (sqrt.f64 x))) (cbrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (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(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (cbrt.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #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))))) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x)))
#s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))

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

Calls

2 calls:

23.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
23.0ms	x

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Memory

11.7MiB live, 57.5MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.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) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal -2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal -1/18 binary64)) (pow.f64 x #s(literal -11/18 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 (pow.f64 x #s(literal -11/18 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/18 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/18 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 11/18 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 x))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (.f64 x (neg.f64 x))))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 x (neg.f64 x)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))))

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

Calls

2 calls:

10.0ms	x
9.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
96.9%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
96.9%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.1%)

Memory

-5.8MiB live, 33.5MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.0%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
92.2%	2	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
92.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Memory

-13.0MiB live, 26.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
3.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
89.0%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
89.0%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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
89.0%	1	`x`
89.0%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

-25.9MiB live, 13.5MiB allocated

Accuracy

Total -2.2b remaining (-3.7%)

Threshold costs -2.2b (-3.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch15.0ms (0.2%)

Memory

2.2MiB live, 43.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.612036169249429e+153	1.0009061605882312e+155

Samples

10.0ms

96×

valid

Compiler

Compiled 125 to 94 computations (24.8% saved)

Precisions

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

ival-cbrt: 3.0ms (42.1% of total)

adjust: 2.0ms (28% of total)

ival-add: 2.0ms (28% of total)

ival-sub: 1.0ms (14% 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

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.612036169249429e+153	1.0009061605882312e+155

Compiler

Compiled 125 to 94 computations (24.8% saved)

simplify7.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB 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	45	139
1	55	139

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))

Outputs
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))))
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))

soundness1.2s (13.4%)

Memory

-12.0MiB live, 874.3MiB allocated

Rules

9 500×	`lower-fma.f64`
9 500×	`lower-fma.f32`
8 818×	`lower-fma.f64`
8 818×	`lower-fma.f32`
7 240×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	157
0	50	134
1	153	128
2	802	128
3	7625	128
0	8540	115
0	31	138
0	51	107
1	180	99
2	834	99
0	8395	95
0	146	602
1	350	564
2	900	564
3	2613	561
4	5976	561
0	8122	528
0	32	146
0	51	131
1	183	121
2	1081	119
0	9233	112
0	248	103079217914
1	620	103079217767
2	1807	103079217717
3	4003	103079217669
4	7415	103079217669
0	8114	2571

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 269 to 169 computations (37.2% saved)

preprocess65.0ms (0.7%)

Memory: 1.7MiB live, 123.6MiB allocated
Compiler: Compiled 220 to 96 computations (56.4% 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	32	184
0	50	178
1	74	170
2	104	170
3	139	170
4	163	170
5	195	170
6	266	170
7	323	170
8	400	170
9	444	170
10	627	170
11	766	170
12	837	170
13	857	170
14	861	170
0	861	162

Iter	Nodes	Cost
0	32	165
0	51	158
1	74	158
2	89	158
3	108	158
4	135	158
5	193	158
6	277	158
7	358	158
8	426	158
9	499	158
10	555	158
11	653	158
12	806	158
13	858	158
14	878	158
15	892	158
16	894	158
0	894	158

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	32	184
0	50	178
1	74	170
2	104	170
3	139	170
4	163	170
5	195	170
6	266	170
7	323	170
8	400	170
9	444	170
10	627	170
11	766	170
12	837	170
13	857	170
14	861	170
0	861	162

Iter	Nodes	Cost
0	32	165
0	51	158
1	74	158
2	89	158
3	108	158
4	135	158
5	193	158
6	277	158
7	358	158
8	426	158
9	499	158
10	555	158
11	653	158
12	806	158
13	858	158
14	878	158
15	892	158
16	894	158
0	894	158

start0.0ms (0%)

analyze2.0ms (0%)

sample1.8s (19.9%)

explain111.0ms (1.3%)

preprocess21.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize38.0ms (0.4%)

series16.0ms (0.2%)

simplify188.0ms (2.1%)

rewrite228.0ms (2.6%)

eval87.0ms (1%)

prune123.0ms (1.4%)

simplify63.0ms (0.7%)

localize511.0ms (5.8%)

series135.0ms (1.5%)

simplify252.0ms (2.9%)

rewrite319.0ms (3.6%)

eval328.0ms (3.7%)

prune324.0ms (3.7%)

simplify34.0ms (0.4%)

localize217.0ms (2.5%)

series20.0ms (0.2%)

simplify221.0ms (2.5%)

rewrite478.0ms (5.4%)

eval407.0ms (4.6%)

prune181.0ms (2%)

simplify38.0ms (0.4%)

localize264.0ms (3%)

series97.0ms (1.1%)

simplify259.0ms (2.9%)

rewrite240.0ms (2.7%)

eval221.0ms (2.5%)

prune259.0ms (2.9%)

regimes51.0ms (0.6%)

regimes21.0ms (0.2%)

regimes12.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

soundness1.2s (13.4%)

preprocess65.0ms (0.7%)

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	32	184
0	50	178
1	74	170
2	104	170
3	139	170
4	163	170
5	195	170
6	266	170
7	323	170
8	400	170
9	444	170
10	627	170
11	766	170
12	837	170
13	857	170
14	861	170
0	861	162

Iter	Nodes	Cost
0	32	165
0	51	158
1	74	158
2	89	158
3	108	158
4	135	158
5	193	158
6	277	158
7	358	158
8	426	158
9	499	158
10	555	158
11	653	158
12	806	158
13	858	158
14	878	158
15	892	158
16	894	158
0	894	158