Metrics for 2cbrt (problem 3.3.4)

analyze3.0ms (0%)

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 10 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

...c/correct-round.rkt:119:19: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

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

sample2.0s (19%)

Results

840.0ms	3352×	2	valid
808.0ms	4730×	1	valid
15.0ms	174×	0	valid

Precisions

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

ival-cbrt: 311.0ms (26.8% of total)

backward-pass: 186.0ms (16% of total)

...c/correct-round.rkt:119:19: 171.0ms (14.8% of total)

ival->: 160.0ms (13.8% of total)

ival-add: 136.0ms (11.7% of total)

ival-sub: 112.0ms (9.7% of total)

ival-<: 38.0ms (3.3% of total)

ival-and: 26.0ms (2.2% of total)

const: 19.0ms (1.6% of total)

Bogosity

preprocess42.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

270×	`sum3-define`
244×	`fnmadd-define`
184×	`fmsub-define`
168×	`fnmsub-define`
168×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	25	24
2	52	23
3	99	23
4	190	23
5	387	23
6	579	23
7	755	23
8	849	23
9	955	23
10	1033	23
11	1039	23
0	6	7
1	11	7
2	15	7
3	22	7
4	32	7
5	64	7
6	122	7
7	210	7
8	295	7
9	401	7
10	479	7
11	485	7
0	485	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (cbrt (+ x 1)) (cbrt x))

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

Call 2

Inputs
(- (cbrt (+ x 1)) (cbrt x))
(- (cbrt (+ (neg x) 1)) (cbrt (neg x)))
(neg (- (cbrt (+ (neg x) 1)) (cbrt (neg x))))

Outputs
(- (cbrt (+ x 1)) (cbrt x))
(- (cbrt (+ (neg x) 1)) (cbrt (neg x)))
(- (cbrt (- 1 x)) (cbrt (neg x)))
(neg (- (cbrt (+ (neg x) 1)) (cbrt (neg x))))
(- (cbrt (neg x)) (cbrt (- 1 x)))

explain142.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

55.0ms	302×	1	valid
52.0ms	190×	2	valid
1.0ms	20×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-cbrt: 18.0ms (37.9% of total)

backward-pass: 13.0ms (27.3% of total)

ival-add: 9.0ms (18.9% of total)

ival-sub: 6.0ms (12.6% of total)

const: 1.0ms (2.1% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.1%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

124×	`fnmadd-define`
122×	`sum3-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	22	18
4	32	18
5	64	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (cbrt (+ x 1)) (cbrt x))
(cbrt (+ x 1))
(+ x 1)
x
1
(cbrt x)

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

localize66.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.2%	(cbrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	8.2%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

27.0ms	95×	2	valid
27.0ms	151×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-cbrt: 9.0ms (35.4% of total)

backward-pass: 7.0ms (27.5% of total)

ival-add: 6.0ms (23.6% of total)

ival-sub: 3.0ms (11.8% of total)

const: 1.0ms (3.9% of total)

series12.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (- (cbrt (+ x 1)) (cbrt x))>
#<alt (cbrt (+ x 1))>
#<alt (+ x 1)>
#<alt (cbrt x)>

Outputs
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>

Calls

12 calls:

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

rewrite229.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2230×	`-lowering-.f32`
2230×	`-lowering-.f64`
1490×	`fmsub-define`
1482×	`fmm-def`
1266×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	39	16
2	291	16
3	3387	16
0	8991	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 273

Calls

Call 1

Inputs
(- (cbrt (+ x 1)) (cbrt x))
(cbrt (+ x 1))
(+ x 1)
(cbrt x)

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

simplify200.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3426×	`-lowering-.f32`
3426×	`-lowering-.f64`
1786×	`/-lowering-/.f32`
1786×	`/-lowering-/.f64`
1556×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	551
1	378	495
2	1081	488
3	3258	483
0	8146	483

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(+.f64 (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/9 binary64)))))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(+.f64 (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))))
(* 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 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 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 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x))
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.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 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (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 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (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 (+.f64 (.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))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/9 binary64)))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))))
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(.f64 x (+.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(* 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 (+.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(.f64 x (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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)))))
(* -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 (+.f64 (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.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 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)))))
(-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (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)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 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)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))

eval39.0ms (0.4%)

Compiler: Compiled 6763 to 1051 computations (84.5% saved)

prune68.0ms (0.6%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	291	30	321
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	291	31	322

Accuracy

52.9%

Counts

322 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.7%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))))
	8.8%	(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
	5.8%	(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)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
	8.8%	(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)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
▶	7.3%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
	8.3%	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))
	6.0%	(/.f64 (-.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)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))) x)) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
	21.5%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x))
	21.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.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))
	20.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
	7.6%	(/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (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))
	7.3%	(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
	8.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
	5.8%	(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/3 binary64)) (cbrt.f64 x))
	5.8%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	8.3%	(-.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))))
▶	6.4%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
▶	7.9%	(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 x))
	8.0%	(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
	5.6%	(-.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (cbrt.f64 x))
	8.0%	(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))
	9.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
	9.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
	9.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
	8.3%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))))
✓	8.1%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	7.3%	(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
▶	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	6.0%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))
	8.2%	(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
▶	49.9%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))

Compiler

Compiled 1294 to 726 computations (43.9% saved)

simplify127.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
✓	cost-diff	0	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	12928	(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	12928	(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	12928	(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 x))
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) (log1p.f64 x))
✓	cost-diff	6400	(exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)))
✓	cost-diff	6400	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
✓	cost-diff	0	(cbrt.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓	cost-diff	0	(*.f64 x 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))))

Rules

2034×	`sum3-define`
1526×	`-lowering-.f32`
1526×	`-lowering-.f64`
1490×	`fnmsub-define`
1074×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	34359738468
1	67	34359738459
2	128	34359738454
3	289	34359738454
4	492	34359738454
5	920	34359738454
6	2988	34359738454
7	5754	34359738454
8	7366	34359738454
0	8020	172

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 (cbrt (/ 1 (* x x))))
1/3
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
1
(* x x)
x
(- 1 (cbrt x))
1
(cbrt x)
x
(- (exp (* 1/3 (log (+ 1 x)))) (cbrt x))
(exp (* 1/3 (log (+ 1 x))))
(* 1/3 (log (+ 1 x)))
1/3
(log (+ 1 x))
x
(cbrt x)
(- (cbrt (pow (pow (+ x 1) 1/2) 2)) (cbrt x))
(cbrt (pow (pow (+ x 1) 1/2) 2))
(pow (pow (+ x 1) 1/2) 2)
(pow (+ x 1) 1/2)
(+ x 1)
x
1
1/2
2
(cbrt x)
(/ (- (pow (+ x 1) 4/3) (pow x 4/3)) (* (+ (cbrt (+ x 1)) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3))))
(- (pow (+ x 1) 4/3) (pow x 4/3))
(pow (+ x 1) 4/3)
(+ x 1)
x
1
4/3
(pow x 4/3)
(* (+ (cbrt (+ x 1)) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3)))
(+ (cbrt (+ x 1)) (cbrt x))
(cbrt (+ x 1))
(cbrt x)
(+ (pow (+ x 1) 2/3) (pow x 2/3))
(pow (+ x 1) 2/3)
2/3
(pow x 2/3)

Outputs
(* 1/3 (cbrt (/ 1 (* x x))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
1/3
#s(literal 1/3 binary64)
(cbrt (/ 1 (* x x)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
1
#s(literal 1 binary64)
(cbrt x)
(cbrt.f64 x)
x
(- (exp (* 1/3 (log (+ 1 x)))) (cbrt x))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(exp (* 1/3 (log (+ 1 x))))
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(* 1/3 (log (+ 1 x)))
(*.f64 #s(literal 1/3 binary64) (log1p.f64 x))
1/3
#s(literal 1/3 binary64)
(log (+ 1 x))
(log1p.f64 x)
x
(cbrt x)
(cbrt.f64 x)
(- (cbrt (pow (pow (+ x 1) 1/2) 2)) (cbrt x))
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(cbrt (pow (pow (+ x 1) 1/2) 2))
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(pow (pow (+ x 1) 1/2) 2)
(+.f64 #s(literal 1 binary64) x)
(pow (+ x 1) 1/2)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(cbrt x)
(cbrt.f64 x)
(/ (- (pow (+ x 1) 4/3) (pow x 4/3)) (* (+ (cbrt (+ x 1)) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
(- (pow (+ x 1) 4/3) (pow x 4/3))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64)))
(pow (+ x 1) 4/3)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
4/3
#s(literal 4/3 binary64)
(pow x 4/3)
(pow.f64 x #s(literal 4/3 binary64))
(* (+ (cbrt (+ x 1)) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3)))
(*.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
(+ (cbrt (+ x 1)) (cbrt x))
(+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(cbrt (+ x 1))
(cbrt.f64 (+.f64 #s(literal 1 binary64) x))
(cbrt x)
(cbrt.f64 x)
(+ (pow (+ x 1) 2/3) (pow x 2/3))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))
(pow (+ x 1) 2/3)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
(pow x 2/3)
(pow.f64 x #s(literal 2/3 binary64))

localize1.3s (12.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))
✓	accuracy	99.9%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64))
✓	accuracy	99.9%	(pow.f64 x #s(literal 4/3 binary64))
✓	accuracy	99.6%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64)))
✓	accuracy	100.0%	(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(cbrt.f64 x)
✓	accuracy	100.0%	(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	99.5%	(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 x))
✓	accuracy	100.0%	(*.f64 #s(literal 1/3 binary64) (log1p.f64 x))
✓	accuracy	100.0%	(exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)))
✓	accuracy	100.0%	(cbrt.f64 x)
✓	accuracy	99.5%	(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
✓	accuracy	100.0%	(cbrt.f64 x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	100.0%	(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

1.2s	248×	5	exit
5.0ms	8×	0	valid

Compiler

Compiled 196 to 33 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 865.0ms

ival-exp: 248.0ms (28.7% of total)

ival-pow: 177.0ms (20.5% of total)

backward-pass: 150.0ms (17.3% of total)

...c/correct-round.rkt:119:19: 82.0ms (9.5% of total)

ival-mult: 50.0ms (5.8% of total)

ival-cbrt: 44.0ms (5.1% of total)

ival-sub: 30.0ms (3.5% of total)

ival-div: 29.0ms (3.4% of total)

compiled-spec: 26.0ms (3% of total)

ival-add: 19.0ms (2.2% of total)

ival-log: 7.0ms (0.8% of total)

const: 2.0ms (0.2% of total)

series37.0ms (0.3%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (* 1/3 (cbrt (/ 1 (* x x))))>
#<alt (cbrt (/ 1 (* x x)))>
#<alt (/ 1 (* x x))>
#<alt (* x x)>
#<alt (- 1 (cbrt x))>
#<alt (cbrt x)>
#<alt (- (exp (* 1/3 (log (+ 1 x)))) (cbrt x))>
#<alt (exp (* 1/3 (log (+ 1 x))))>
#<alt (* 1/3 (log (+ 1 x)))>
#<alt (log (+ 1 x))>
#<alt (- (cbrt (pow (pow (+ x 1) 1/2) 2)) (cbrt x))>
#<alt (cbrt (pow (pow (+ x 1) 1/2) 2))>
#<alt (pow (pow (+ x 1) 1/2) 2)>
#<alt (pow (+ x 1) 1/2)>
#<alt (/ (- (pow (+ x 1) 4/3) (pow x 4/3)) (* (+ (cbrt (+ x 1)) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3))))>
#<alt (- (pow (+ x 1) 4/3) (pow x 4/3))>
#<alt (pow (+ x 1) 4/3)>
#<alt (+ x 1)>
#<alt (pow x 4/3)>
#<alt (pow (+ x 1) 2/3)>

Outputs
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (- 1 (cbrt x))>
#<alt (- 1 (cbrt x))>
#<alt (- 1 (cbrt x))>
#<alt (- 1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))>
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))>
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))>
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))>
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/6 x)))>
#<alt (* x (+ 1/3 (* x (- (* 1/9 x) 1/6))))>
#<alt (* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6))))>
#<alt (* -1/3 (log (/ 1 x)))>
#<alt (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x)))>
#<alt (- (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) (/ 1/6 (pow x 2)))>
#<alt (- (+ (* -1/3 (log (/ 1 x))) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3))))) (/ 1/6 (pow x 2)))>
#<alt (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (- 1 (cbrt x))>
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))>
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/3 x))>
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))>
#<alt (+ (* x (- (* 4/3 (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))) (+ (* 1/3 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (+ 1 (cbrt (pow x 2)))))) (+ (* 2/3 (/ 1 (* (+ 1 (cbrt x)) (pow (+ 1 (cbrt (pow x 2))) 2)))) (* (cbrt x) (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))))))) (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2))))))>
#<alt (+ (* x (- (+ (* 4/3 (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))) (* x (- (+ (* 1/9 (/ 1 (* (+ 1 (cbrt x)) (pow (+ 1 (cbrt (pow x 2))) 2)))) (+ (* 1/9 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (+ 1 (cbrt (pow x 2)))))) (* 2/9 (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))))) (+ (* 2/9 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (pow (+ 1 (cbrt (pow x 2))) 2)))) (/ (* (+ (* 1/3 (+ 1 (cbrt (pow x 2)))) (* 2/3 (+ 1 (cbrt x)))) (- (* 4/3 (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))) (+ (* 1/3 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (+ 1 (cbrt (pow x 2)))))) (+ (* 2/3 (/ 1 (* (+ 1 (cbrt x)) (pow (+ 1 (cbrt (pow x 2))) 2)))) (* (cbrt x) (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))))))) (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2))))))))) (+ (* 1/3 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (+ 1 (cbrt (pow x 2)))))) (+ (* 2/3 (/ 1 (* (+ 1 (cbrt x)) (pow (+ 1 (cbrt (pow x 2))) 2)))) (* (cbrt x) (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))))))) (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2))))))>
#<alt (+ (* x (- (+ (* 4/3 (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))) (* x (- (+ (* 1/9 (/ 1 (* (+ 1 (cbrt x)) (pow (+ 1 (cbrt (pow x 2))) 2)))) (+ (* 1/9 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (+ 1 (cbrt (pow x 2)))))) (+ (* 2/9 (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))) (* x (- (* 1/9 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (pow (+ 1 (cbrt (pow x 2))) 2)))) (+ (* 4/81 (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))) (+ (* 4/81 (/ 1 (* (+ 1 (cbrt x)) (pow (+ 1 (cbrt (pow x 2))) 2)))) (+ (* 5/81 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (+ 1 (cbrt (pow x 2)))))) (+ (/ (* (+ 2/9 (+ (* -1/9 (+ 1 (cbrt x))) (* -1/9 (+ 1 (cbrt (pow x 2)))))) (- (* 4/3 (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))) (+ (* 1/3 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (+ 1 (cbrt (pow x 2)))))) (+ (* 2/3 (/ 1 (* (+ 1 (cbrt x)) (pow (+ 1 (cbrt (pow x 2))) 2)))) (* (cbrt x) (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))))))) (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2))))) (/ (* (+ (* 1/3 (+ 1 (cbrt (pow x 2)))) (* 2/3 (+ 1 (cbrt x)))) (- (+ (* 1/9 (/ 1 (* (+ 1 (cbrt x)) (pow (+ 1 (cbrt (pow x 2))) 2)))) (+ (* 1/9 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (+ 1 (cbrt (pow x 2)))))) (* 2/9 (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))))) (+ (* 2/9 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (pow (+ 1 (cbrt (pow x 2))) 2)))) (/ (* (+ (* 1/3 (+ 1 (cbrt (pow x 2)))) (* 2/3 (+ 1 (cbrt x)))) (- (* 4/3 (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))) (+ (* 1/3 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (+ 1 (cbrt (pow x 2)))))) (+ (* 2/3 (/ 1 (* (+ 1 (cbrt x)) (pow (+ 1 (cbrt (pow x 2))) 2)))) (* (cbrt x) (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))))))) (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))))) (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))))))))))) (+ (* 2/9 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (pow (+ 1 (cbrt (pow x 2))) 2)))) (/ (* (+ (* 1/3 (+ 1 (cbrt (pow x 2)))) (* 2/3 (+ 1 (cbrt x)))) (- (* 4/3 (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))) (+ (* 1/3 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (+ 1 (cbrt (pow x 2)))))) (+ (* 2/3 (/ 1 (* (+ 1 (cbrt x)) (pow (+ 1 (cbrt (pow x 2))) 2)))) (* (cbrt x) (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))))))) (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2))))))))) (+ (* 1/3 (/ 1 (* (pow (+ 1 (cbrt x)) 2) (+ 1 (cbrt (pow x 2)))))) (+ (* 2/3 (/ 1 (* (+ 1 (cbrt x)) (pow (+ 1 (cbrt (pow x 2))) 2)))) (* (cbrt x) (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2)))))))))) (/ 1 (* (+ 1 (cbrt x)) (+ 1 (cbrt (pow x 2))))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ (+ (* 2/3 (/ (pow x 2) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (/ x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (pow x 3))>
#<alt (/ (+ (* 2/3 (/ (pow x 2) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (/ 2/3 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))) (/ x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))) (pow x 3))>
#<alt (/ (- (+ (* 1/6 (/ (- 1 (* 16/3 (pow x 2))) (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))) (+ (* 2/3 (/ (pow x 2) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (+ (/ 2/3 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))) (/ x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))))) (* 1/3 (* (cbrt (/ 1 x)) (/ (+ (* 1/3 (* (cbrt (pow x 4)) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))) (* 2/3 (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))) 2))))) (pow x 3))>
#<alt (/ 2/3 (* x (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))>
#<alt (* -1 (/ (+ (* -1 (/ x (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (* -2/3 (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ x (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x)) (* -2/3 (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (* (pow x 2) (- 1 (* 16/3 (pow x 2)))) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (* -1/3 (* (cbrt (pow x 8)) (/ (+ (* 1/3 (* (cbrt (pow x 4)) (/ (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) (pow (cbrt -1) 2)))) (* 2/3 (* (cbrt (/ 1 (* (pow x 2) (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))) (cbrt -1)))) (* (pow (cbrt -1) 2) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))) 2)))))) x)) (* 2/3 (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))) x)) (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x)) (* -2/3 (/ (pow x 2) (* (cbrt -1) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1))))))) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (* x (- 4/3 (cbrt x))))>
#<alt (+ 1 (* x (- (+ 4/3 (* 2/9 x)) (cbrt x))))>
#<alt (+ 1 (* x (- (+ 4/3 (* x (+ 2/9 (* -4/81 x)))) (cbrt x))))>
#<alt (* 4/3 (cbrt x))>
#<alt (/ (+ (* 4/3 (cbrt (pow x 4))) (* 2 (cbrt x))) x)>
#<alt (/ (+ (* 4/3 (cbrt (/ 1 (pow x 2)))) (+ (* 4/3 (cbrt (pow x 4))) (* 2 (cbrt x)))) x)>
#<alt (/ (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (- 1 (* 16/3 (pow x 2))))) (+ (* 4/3 (cbrt (/ 1 (pow x 2)))) (+ (* 4/3 (cbrt (pow x 4))) (* 2 (cbrt x))))) x)>
#<alt (* 4/3 (cbrt x))>
#<alt (* -1 (/ (+ (* -2 (cbrt x)) (* -4/3 (cbrt (pow x 4)))) x))>
#<alt (* -1 (/ (+ (* -4/3 (cbrt (pow x 4))) (* -1 (/ (+ (* 4/3 (cbrt x)) (* 2 (cbrt (pow x 4)))) x))) x))>
#<alt (* -1 (/ (+ (* -4/3 (cbrt (pow x 4))) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (cbrt (pow x 4))) (* -1/3 (* (cbrt x) (- 1 (* 16/3 (pow x 2)))))) x)) (* 2 (cbrt (pow x 4)))) x))) x))>
#<alt 1>
#<alt (+ 1 (* 4/3 x))>
#<alt (+ 1 (* x (+ 4/3 (* 2/9 x))))>
#<alt (+ 1 (* x (+ 4/3 (* x (+ 2/9 (* -4/81 x))))))>
#<alt (cbrt (pow x 4))>
#<alt (* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (* 4/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (+ (* 4/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 8)))))))>
#<alt (* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (+ (* 4/3 (cbrt (/ 1 (pow x 5)))) (+ (* 4/3 (cbrt (/ 1 (pow x 11)))) (* 2 (cbrt (/ 1 (pow x 8))))))))>
#<alt (cbrt (pow x 4))>
#<alt (* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (* 4/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (* -1 (/ (+ (* -2 (cbrt x)) (* -4/3 (cbrt (pow x 4)))) (pow x 3)))))>
#<alt (* (pow x 2) (+ (cbrt (/ 1 (pow x 2))) (* -1 (/ (+ (* -4/3 (cbrt (pow x 4))) (* -1 (/ (+ (* 4/3 (cbrt x)) (* 2 (cbrt (pow x 4)))) x))) (pow x 3)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt (cbrt (pow x 4))>
#<alt 1>
#<alt (+ 1 (* 2/3 x))>
#<alt (+ 1 (* x (+ 2/3 (* -1/9 x))))>
#<alt (+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))>
#<alt (* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))>

Calls

60 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow (+ x 1) 2/3)
4.0ms	x	@	inf	(* 1/3 (cbrt (/ 1 (* x x))))
3.0ms	x	@	-inf	(/ (- (pow (+ x 1) 4/3) (pow x 4/3)) (* (+ (cbrt (+ x 1)) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3))))
3.0ms	x	@	0	(/ (- (pow (+ x 1) 4/3) (pow x 4/3)) (* (+ (cbrt (+ x 1)) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3))))
2.0ms	x	@	inf	(/ (- (pow (+ x 1) 4/3) (pow x 4/3)) (* (+ (cbrt (+ x 1)) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3))))

rewrite366.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3094×	`-lowering-.f32`
3094×	`-lowering-.f64`
3090×	`/-lowering-/.f32`
3090×	`/-lowering-/.f64`
1550×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	101
1	214	89
2	1606	88
0	8728	86

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1127

Calls

Call 1

Inputs
(* 1/3 (cbrt (/ 1 (* x x))))
(cbrt (/ 1 (* x x)))
(/ 1 (* x x))
(* x x)
(- 1 (cbrt x))
(cbrt x)
(- (exp (* 1/3 (log (+ 1 x)))) (cbrt x))
(exp (* 1/3 (log (+ 1 x))))
(* 1/3 (log (+ 1 x)))
(log (+ 1 x))
(- (cbrt (pow (pow (+ x 1) 1/2) 2)) (cbrt x))
(cbrt (pow (pow (+ x 1) 1/2) 2))
(pow (pow (+ x 1) 1/2) 2)
(pow (+ x 1) 1/2)
(/ (- (pow (+ x 1) 4/3) (pow x 4/3)) (* (+ (cbrt (+ x 1)) (cbrt x)) (+ (pow (+ x 1) 2/3) (pow x 2/3))))
(- (pow (+ x 1) 4/3) (pow x 4/3))
(pow (+ x 1) 4/3)
(+ x 1)
(pow x 4/3)
(pow (+ x 1) 2/3)

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

simplify330.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

4936×	`-lowering-.f32`
4936×	`-lowering-.f64`
2796×	`+-lowering-+.f64`
2796×	`+-lowering-+.f32`
2196×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	602	4149
1	1865	3645
2	6166	3605
0	8466	3605

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

Outputs
(* 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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(* -1 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))))
(- 1 (cbrt x))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(- (+ 1 (* 1/3 x)) (cbrt x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))
(+.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/9 binary64)))) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))
(+.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 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 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 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 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 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 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 x x))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.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 x x))
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 x (.f64 x x)))) (.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))
(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 10/243 binary64) (cbrt.f64 (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (/.f64 (.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 16 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(+ 1 (* x (+ 1/3 (* -1/9 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/9 binary64)))))
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))))
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))
(.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))
(.f64 x (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))))
(* 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 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(.f64 (cbrt.f64 x) (.f64 #s(literal -1 binary64) (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 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #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 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.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 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)))))
(.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 x))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* -1/6 x)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/6 binary64))))
(* x (+ 1/3 (* x (- (* 1/9 x) 1/6))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/9 binary64))))))
(* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64))))))))
(* -1/3 (log (/ 1 x)))
(neg.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)))
(+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x)))
(-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 (log.f64 x) #s(literal -1/3 binary64)))
(- (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) (/ 1/6 (pow x 2)))
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) (.f64 (log.f64 x) #s(literal -1/3 binary64))) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))
(- (+ (* -1/3 (log (/ 1 x))) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3))))) (/ 1/6 (pow x 2)))
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 (log.f64 x) #s(literal -1/3 binary64))) (/.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) x))
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) x))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) x))
x
(* x (+ 1 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
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(.f64 (+.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (/.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))))) (.f64 x (.f64 x x))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))
(.f64 (-.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))))) (/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 5 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 8 binary64)))) (/.f64 #s(literal -5/81 binary64) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 x))

eval510.0ms (4.8%)

Compiler: Compiled 60505 to 4557 computations (92.5% saved)

prune188.0ms (1.8%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1744	22	1766
Fresh	19	6	25
Picked	3	2	5
Done	0	1	1
Total	1766	31	1797

Accuracy

99.7%

Counts

1797 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(/.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (cbrt.f64 #s(literal -1 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	10.0%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
	7.6%	(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 x (.f64 x x)))) (.f64 x x))
	29.8%	(/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 x (.f64 x x)))
	21.9%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 x x))
	21.5%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x))
	20.9%	(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
	10.0%	(/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))))
	8.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
▶	97.5%	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	87.9%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	5.8%	(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/3 binary64)) (cbrt.f64 x))
	5.8%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	9.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	8.1%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
	6.9%	(-.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
▶	87.9%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
▶	95.5%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
	95.5%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
▶	95.4%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))))
	87.9%	(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
	50.0%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
	95.5%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	22.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2 binary64))))
	51.1%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	49.7%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))))
✓	49.9%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	51.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))))
▶	51.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))))))
	51.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 958 to 641 computations (33.1% saved)

simplify168.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	13184	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	13184	(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	13184	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	0	(/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x)))
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))))
✓	cost-diff	64	(neg.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	64	(cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)))
✓	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	(pow.f64 x #s(literal -2/3 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	128	(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	cost-diff	128	(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	128	(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	128	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))

Rules

1640×	`fnmsub-define`
1580×	`sum4-define`
1570×	`fmsub-define`
1448×	`fma-lowering-fma.f32`
1448×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	8589934762
1	74	8589934754
2	111	8589934751
3	138	8589934742
4	177	8589934742
5	255	8589934742
6	353	8589934742
7	631	8589934742
8	719	8589934742
9	830	8589934742
10	1088	8589934742
11	2246	8589934742
12	4879	8589934742
13	6475	8589934742
14	7542	8589934742
15	7728	8589934742
16	7916	8589934742
0	8024	160

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x)))))
2/3
(* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x))))
x
(+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x)))
(cbrt (+ (/ 1 x) (/ 2 (* x x))))
(+ (/ 1 x) (/ 2 (* x x)))
(/ 1 x)
1
(/ 2 (* x x))
2
(* x x)
(cbrt (/ 1 x))
(* (pow x -2/3) 1/3)
(pow x -2/3)
x
-2/3
1/3
(* 1/3 (pow (cbrt x) -2))
1/3
(pow (cbrt x) -2)
(cbrt x)
x
-2
(* 1/3 (/ (cbrt (neg (/ 1 x))) (cbrt (neg x))))
1/3
(/ (cbrt (neg (/ 1 x))) (cbrt (neg x)))
(cbrt (neg (/ 1 x)))
(neg (/ 1 x))
(/ 1 x)
1
x
(cbrt (neg x))
(neg x)
(* 1/3 (cbrt (* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2)))))
1/3
(cbrt (* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2))))
(* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2)))
(/ 1 (pow x 1/2))
1
(pow x 1/2)
x
1/2
(/ (/ 1 x) (pow x 1/2))
(/ 1 x)

Outputs
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x)))))
(/.f64 #s(literal 2/3 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
2/3
#s(literal 2/3 binary64)
(* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x))))
(*.f64 x (+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
x
(+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(cbrt (+ (/ 1 x) (/ 2 (* x x))))
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ (/ 1 x) (/ 2 (* x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ 2 (* x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (pow x -2/3) 1/3)
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(pow x -2/3)
(pow.f64 x #s(literal -2/3 binary64))
x
-2/3
#s(literal -2/3 binary64)
1/3
#s(literal 1/3 binary64)
(* 1/3 (pow (cbrt x) -2))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
1/3
#s(literal 1/3 binary64)
(pow (cbrt x) -2)
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
(cbrt x)
(cbrt.f64 x)
x
-2
#s(literal -2 binary64)
(* 1/3 (/ (cbrt (neg (/ 1 x))) (cbrt (neg x))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))
1/3
#s(literal 1/3 binary64)
(/ (cbrt (neg (/ 1 x))) (cbrt (neg x)))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))
(cbrt (neg (/ 1 x)))
(cbrt.f64 (/.f64 #s(literal -1 binary64) x))
(neg (/ 1 x))
(/.f64 #s(literal -1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(cbrt (neg x))
(cbrt.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(* 1/3 (cbrt (* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2)))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
1/3
#s(literal 1/3 binary64)
(cbrt (* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 1/2))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
1
#s(literal 1 binary64)
(pow x 1/2)
(sqrt.f64 x)
x
1/2
#s(literal 1/2 binary64)
(/ (/ 1 x) (pow x 1/2))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

localize252.0ms (2.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	54.1%	(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	99.5%	(/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x)))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))))
✓	accuracy	99.2%	(cbrt.f64 (neg.f64 x))
✓	accuracy	99.0%	(cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 x) #s(literal -2 binary64))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	99.4%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
✓	accuracy	90.8%	(pow.f64 x #s(literal -2/3 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.0%	(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.0%	(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))

Results

203.0ms

256×

valid

Compiler

Compiled 222 to 35 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-div: 23.0ms (25.8% of total)

ival-pow: 20.0ms (22.4% of total)

ival-cbrt: 16.0ms (17.9% of total)

ival-mult: 13.0ms (14.6% of total)

...c/correct-round.rkt:119:19: 12.0ms (13.5% of total)

ival-add: 3.0ms (3.4% of total)

ival-neg: 2.0ms (2.2% of total)

const: 1.0ms (1.1% of total)

backward-pass: 0.0ms (0% of total)

series26.0ms (0.2%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x)))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x))))>
#<alt (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x)))>
#<alt (cbrt (+ (/ 1 x) (/ 2 (* x x))))>
#<alt (* (pow x -2/3) 1/3)>
#<alt (pow x -2/3)>
#<alt (* 1/3 (pow (cbrt x) -2))>
#<alt (pow (cbrt x) -2)>
#<alt (cbrt x)>
#<alt (cbrt (neg (/ 1 x)))>
#<alt (neg (/ 1 x))>
#<alt (* 1/3 (/ (cbrt (neg (/ 1 x))) (cbrt (neg x))))>
#<alt (/ (cbrt (neg (/ 1 x))) (cbrt (neg x)))>
#<alt (* 1/3 (cbrt (* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2)))))>
#<alt (cbrt (* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2))))>
#<alt (* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2)))>
#<alt (/ (/ 1 x) (pow x 1/2))>
#<alt (cbrt (/ 1 x))>
#<alt (/ 2 (* x x))>
#<alt (cbrt (neg x))>
#<alt (/ 1 (pow x 1/2))>

Outputs
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))>
#<alt (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))>
#<alt (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))>
#<alt (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (* (cbrt (/ 1 x)) (cbrt -1))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))>
#<alt (* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))>
#<alt (* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))>
#<alt (* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))>
#<alt (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))>
#<alt (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))>
#<alt (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* (cbrt x) (cbrt -1))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (* -1 (cbrt x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>

Calls

63 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x)))))
3.0ms	x	@	0	(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x)))))
3.0ms	x	@	-inf	(* 1/3 (cbrt (* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2)))))
2.0ms	x	@	inf	(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x)))))
1.0ms	x	@	0	(pow x -2/3)

rewrite301.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3328×	`/-lowering-/.f32`
3328×	`/-lowering-/.f64`
2858×	`-lowering-.f32`
2858×	`-lowering-.f64`
1266×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	133
1	179	117
2	1392	109
0	8440	105

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1168

Calls

Call 1

Inputs
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x)))))
(* x (+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x))))
(+ (cbrt (+ (/ 1 x) (/ 2 (* x x)))) (cbrt (/ 1 x)))
(cbrt (+ (/ 1 x) (/ 2 (* x x))))
(* (pow x -2/3) 1/3)
(pow x -2/3)
(* 1/3 (pow (cbrt x) -2))
(pow (cbrt x) -2)
(cbrt x)
(cbrt (neg (/ 1 x)))
(neg (/ 1 x))
(* 1/3 (/ (cbrt (neg (/ 1 x))) (cbrt (neg x))))
(/ (cbrt (neg (/ 1 x))) (cbrt (neg x)))
(* 1/3 (cbrt (* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2)))))
(cbrt (* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2))))
(* (/ 1 (pow x 1/2)) (/ (/ 1 x) (pow x 1/2)))
(/ (/ 1 x) (pow x 1/2))
(cbrt (/ 1 x))
(/ 2 (* x x))
(cbrt (neg x))
(/ 1 (pow x 1/2))

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

simplify191.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2212×	`fma-lowering-fma.f32`
2212×	`fma-lowering-fma.f64`
2046×	`-lowering-.f32`
2046×	`-lowering-.f64`
1490×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	1840
1	116	1580
2	231	1580
3	408	1580
4	812	1580
5	1444	1580
6	2581	1580
7	4670	1580
8	7792	1580
0	8310	1580

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(* 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 (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 (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(* (cbrt (/ 1 x)) (cbrt -1))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 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) (pow (sqrt -1) 2)))) (cbrt -1)))
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(* (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))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))

Outputs
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x)))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(.f64 x (+.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
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(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)))
(* 1/3 (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) (pow (sqrt -1) 2)))) (cbrt -1)))
(.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))
(.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))
(.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))
(.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (pow x 2)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(cbrt (/ 1 (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) (pow (sqrt -1) 2)))) (cbrt -1))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x x))))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x x))))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x x))))
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))
(.f64 (cbrt.f64 #s(literal -1 binary64)) (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) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(cbrt (/ 1 x))
(cbrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* (cbrt x) (cbrt -1))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))
(* -1 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(* -1 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(* -1 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(* -1 (cbrt x))
(-.f64 #s(literal 0 binary64) (cbrt.f64 x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))

eval177.0ms (1.7%)

Compiler: Compiled 22668 to 3286 computations (85.5% saved)

prune149.0ms (1.4%)

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	1398	22	1420
Fresh	6	17	23
Picked	2	3	5
Done	0	3	3
Total	1406	45	1451

Accuracy

99.9%

Counts

1451 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(/.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (cbrt.f64 #s(literal -1 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
▶	95.5%	(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
	10.0%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
	7.6%	(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 x (.f64 x x)))) (.f64 x x))
	29.8%	(/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 x (.f64 x x)))
	21.9%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 x x))
	21.5%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x))
	10.0%	(/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))))
	87.9%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
	87.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))))
	8.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
▶	51.4%	(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
	51.5%	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
▶	97.6%	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	97.3%	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	97.6%	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
	92.5%	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (exp.f64 (*.f64 #s(literal -1/3 binary64) (log.f64 x))))))
✓	97.5%	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
▶	87.9%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	5.8%	(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/3 binary64)) (cbrt.f64 x))
	5.8%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	9.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	8.1%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	87.9%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
✓	87.9%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	59.8%	(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -7/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1/3 binary64))
	95.5%	(.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (cbrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 1/3 binary64))
	87.9%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
	92.1%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (pow.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 2/3 binary64) x))
	95.5%	(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
▶	80.3%	(.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5/4 binary64)))) #s(literal 1/3 binary64))
	95.0%	(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal -2 binary64)))
✓	95.5%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
	95.5%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
	95.4%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
	49.8%	(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (cbrt.f64 (neg.f64 x))))
	30.1%	(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (cbrt.f64 (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 #s(literal 0 binary64) x)))))))
	50.0%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
	95.5%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	51.1%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
	51.1%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	32.5%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (*.f64 x x)) x))))
✓	49.9%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	51.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 1397 to 957 computations (31.5% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(pow.f64 x #s(literal -3/4 binary64))
✓	cost-diff	(cbrt.f64 (pow.f64 x #s(literal -3/4 binary64)))
✓	cost-diff	(*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5/4 binary64))))
✓	cost-diff	(.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5/4 binary64)))) #s(literal 1/3 binary64))
✓	cost-diff	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	cost-diff	(cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x)))
✓	cost-diff	(+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x)))
✓	cost-diff	(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
✓	cost-diff	(cbrt.f64 x)
✓	cost-diff	(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))
✓	cost-diff	(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
✓	cost-diff	(pow.f64 x #s(literal 2/3 binary64))
✓	cost-diff	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
✓	cost-diff	(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
✓	cost-diff	(+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))

Rules

92×	`-lowering-.f32`
92×	`-lowering-.f64`
52×	`fma-define`
46×	`/-lowering-/.f32`
46×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	8589934787
1	67	8589934785
2	92	8589934785
3	99	8589934785
4	143	8589934785
5	155	8589934785
6	159	8589934785
0	159	203

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 2/3 (* x (+ (/ 1 (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x)))))) (cbrt (/ 1 x)))))
2/3
(* x (+ (/ 1 (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x)))))) (cbrt (/ 1 x))))
x
(+ (/ 1 (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x)))))) (cbrt (/ 1 x)))
(/ 1 (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x))))))
1
(cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x)))))
(/ 1 (+ (/ 1 x) (/ 2 (* x x))))
(+ (/ 1 x) (/ 2 (* x x)))
(/ 1 x)
(/ 2 (* x x))
2
(* x x)
(cbrt (/ 1 x))
(/ 1/3 (pow x 2/3))
1/3
(pow x 2/3)
x
2/3
(/ (/ 1/3 (cbrt x)) (cbrt x))
(/ 1/3 (cbrt x))
1/3
(cbrt x)
x
(/ 2/3 (+ (cbrt (* x (+ 2 x))) (cbrt (* x x))))
2/3
(+ (cbrt (* x (+ 2 x))) (cbrt (* x x)))
(cbrt (* x (+ 2 x)))
(* x (+ 2 x))
x
(+ 2 x)
2
(cbrt (* x x))
(* x x)
(* (* (cbrt (pow x -3/4)) (cbrt (pow x -5/4))) 1/3)
(* (cbrt (pow x -3/4)) (cbrt (pow x -5/4)))
(cbrt (pow x -3/4))
(pow x -3/4)
x
-3/4
(cbrt (pow x -5/4))
(pow x -5/4)
-5/4
1/3

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

localize205.0ms (1.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5/4 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5/4 binary64)))) #s(literal 1/3 binary64))
✓	accuracy	98.9%	(cbrt.f64 (pow.f64 x #s(literal -3/4 binary64)))
✓	accuracy	83.7%	(cbrt.f64 (pow.f64 x #s(literal -5/4 binary64)))
✓	accuracy	100.0%	(+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x)))
✓	accuracy	99.4%	(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
✓	accuracy	53.0%	(cbrt.f64 (*.f64 x x))
✓	accuracy	53.0%	(cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x)))
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))
✓	accuracy	99.2%	(cbrt.f64 x)
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
✓	accuracy	90.6%	(pow.f64 x #s(literal 2/3 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	99.2%	(cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.0%	(cbrt.f64 (/.f64 #s(literal 1 binary64) x))

Results

158.0ms

256×

valid

Compiler

Compiled 242 to 36 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-pow: 22.0ms (28.3% of total)

ival-div: 15.0ms (19.3% of total)

ival-mult: 12.0ms (15.4% of total)

ival-cbrt: 12.0ms (15.4% of total)

...c/correct-round.rkt:119:19: 11.0ms (14.1% of total)

ival-add: 5.0ms (6.4% of total)

const: 1.0ms (1.3% of total)

backward-pass: 0.0ms (0% of total)

series187.0ms (1.8%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (/ 2/3 (* x (+ (/ 1 (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x)))))) (cbrt (/ 1 x)))))>
#<alt (* x (+ (/ 1 (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x)))))) (cbrt (/ 1 x))))>
#<alt (+ (/ 1 (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x)))))) (cbrt (/ 1 x)))>
#<alt (/ 1 (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x))))))>
#<alt (/ 1/3 (pow x 2/3))>
#<alt (pow x 2/3)>
#<alt (/ (/ 1/3 (cbrt x)) (cbrt x))>
#<alt (/ 1/3 (cbrt x))>
#<alt (cbrt x)>
#<alt (/ 2/3 (+ (cbrt (* x (+ 2 x))) (cbrt (* x x))))>
#<alt (+ (cbrt (* x (+ 2 x))) (cbrt (* x x)))>
#<alt (cbrt (* x (+ 2 x)))>
#<alt (* x (+ 2 x))>
#<alt (* (* (cbrt (pow x -3/4)) (cbrt (pow x -5/4))) 1/3)>
#<alt (* (cbrt (pow x -3/4)) (cbrt (pow x -5/4)))>
#<alt (cbrt (pow x -3/4))>
#<alt (pow x -3/4)>
#<alt (cbrt (/ 1 x))>
#<alt (/ 2 (* x x))>
#<alt (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x)))))>
#<alt (cbrt (* x x))>
#<alt (cbrt (pow x -5/4))>

Outputs
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))>
#<alt (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))>
#<alt (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))>
#<alt (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))>
#<alt (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))>
#<alt (* 1/3 (cbrt (/ 1 x)))>
#<alt (* 1/3 (cbrt (/ 1 x)))>
#<alt (* 1/3 (cbrt (/ 1 x)))>
#<alt (* 1/3 (cbrt (/ 1 x)))>
#<alt (* 1/3 (cbrt (/ 1 x)))>
#<alt (* 1/3 (cbrt (/ 1 x)))>
#<alt (* 1/3 (cbrt (/ 1 x)))>
#<alt (* 1/3 (cbrt (/ 1 x)))>
#<alt (* 1/3 (cbrt (/ 1 x)))>
#<alt (* 1/3 (cbrt (/ 1 x)))>
#<alt (* 1/3 (cbrt (/ 1 x)))>
#<alt (* 1/3 (cbrt (/ 1 x)))>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (cbrt x)>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))>
#<alt (/ -2/3 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))>
#<alt (/ -2/3 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))>
#<alt (/ -2/3 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))>
#<alt (/ -2/3 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))>
#<alt (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))>
#<alt (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))>
#<alt (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))>
#<alt (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))>
#<alt (* -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))>
#<alt (cbrt (+ (* 2 x) (pow x 2)))>
#<alt (cbrt (+ (* 2 x) (pow x 2)))>
#<alt (cbrt (+ (* 2 x) (pow x 2)))>
#<alt (cbrt (+ (* 2 x) (pow x 2)))>
#<alt (* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))>
#<alt (* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))>
#<alt (* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))>
#<alt (* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))>
#<alt (* 1/3 (* (pow -1 1/6) (cbrt (/ 1 (pow x 2)))))>
#<alt (* 1/3 (* (pow -1 1/6) (cbrt (/ 1 (pow x 2)))))>
#<alt (* 1/3 (* (pow -1 1/6) (cbrt (/ 1 (pow x 2)))))>
#<alt (* 1/3 (* (pow -1 1/6) (cbrt (/ 1 (pow x 2)))))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (cbrt (/ 1 (pow x 2)))>
#<alt (* (pow -1 1/6) (cbrt (/ 1 (pow x 2))))>
#<alt (* (pow -1 1/6) (cbrt (/ 1 (pow x 2))))>
#<alt (* (pow -1 1/6) (cbrt (/ 1 (pow x 2))))>
#<alt (* (pow -1 1/6) (cbrt (/ 1 (pow x 2))))>
#<alt (pow (/ 1 x) 1/4)>
#<alt (pow (/ 1 x) 1/4)>
#<alt (pow (/ 1 x) 1/4)>
#<alt (pow (/ 1 x) 1/4)>
#<alt (pow (/ 1 x) 1/4)>
#<alt (pow (/ 1 x) 1/4)>
#<alt (pow (/ 1 x) 1/4)>
#<alt (pow (/ 1 x) 1/4)>
#<alt (* (pow (/ 1 x) 1/4) (cbrt -1))>
#<alt (* (pow (/ 1 x) 1/4) (cbrt -1))>
#<alt (* (pow (/ 1 x) 1/4) (cbrt -1))>
#<alt (* (pow (/ 1 x) 1/4) (cbrt -1))>
#<alt (pow (/ 1 (pow x 3)) 1/4)>
#<alt (pow (/ 1 (pow x 3)) 1/4)>
#<alt (pow (/ 1 (pow x 3)) 1/4)>
#<alt (pow (/ 1 (pow x 3)) 1/4)>
#<alt (pow (/ 1 (pow x 3)) 1/4)>
#<alt (pow (/ 1 (pow x 3)) 1/4)>
#<alt (pow (/ 1 (pow x 3)) 1/4)>
#<alt (pow (/ 1 (pow x 3)) 1/4)>
#<alt (exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 x))))))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (cbrt (/ 1 x))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (* (cbrt (pow x 2)) (cbrt 1/2))>
#<alt (+ (* -1/12 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt 1/2) 2)))) (* (cbrt (pow x 2)) (cbrt 1/2)))>
#<alt (+ (* (cbrt (pow x 2)) (cbrt 1/2)) (* (pow x 3) (+ (* -1/12 (* (cbrt (/ 1 (pow x 4))) (/ 1 (pow (cbrt 1/2) 2)))) (* 1/24 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt 1/2) 2)))))))>
#<alt (+ (* (cbrt (pow x 2)) (cbrt 1/2)) (* (pow x 3) (+ (* -1/12 (* (cbrt (/ 1 (pow x 4))) (/ 1 (pow (cbrt 1/2) 2)))) (* x (+ (* -1/48 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt 1/2) 2)))) (* 1/24 (* (cbrt (/ 1 (pow x 4))) (/ 1 (pow (cbrt 1/2) 2)))))))))>
#<alt (cbrt x)>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* -2/3 (cbrt (/ 1 (pow x 5))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -2/3 (cbrt (/ 1 (pow x 5)))) (* 4/3 (cbrt (/ 1 (pow x 8)))))))>
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -8/3 (cbrt (/ 1 (pow x 11)))) (+ (* -2/3 (cbrt (/ 1 (pow x 5)))) (* 4/3 (cbrt (/ 1 (pow x 8))))))))>
#<alt (* -1 (* (cbrt x) (cbrt -1)))>
#<alt (* -1 (* x (+ (* 2/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2)))) (* 4/3 (* (cbrt x) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2)))) (* 8/3 (* (cbrt x) (/ 1 (pow (cbrt -1) 2))))) x)) (* -2/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (cbrt (pow x 2))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))>
#<alt (pow (/ 1 (pow x 5)) 1/12)>
#<alt (pow (/ 1 (pow x 5)) 1/12)>
#<alt (pow (/ 1 (pow x 5)) 1/12)>
#<alt (pow (/ 1 (pow x 5)) 1/12)>
#<alt (pow (/ 1 (pow x 5)) 1/12)>
#<alt (pow (/ 1 (pow x 5)) 1/12)>
#<alt (pow (/ 1 (pow x 5)) 1/12)>
#<alt (pow (/ 1 (pow x 5)) 1/12)>
#<alt (exp (* 1/12 (+ (log -1) (* 5 (log (/ -1 x))))))>
#<alt (exp (* 1/12 (+ (log -1) (* 5 (log (/ -1 x))))))>
#<alt (exp (* 1/12 (+ (log -1) (* 5 (log (/ -1 x))))))>
#<alt (exp (* 1/12 (+ (log -1) (* 5 (log (/ -1 x))))))>

Calls

66 calls:

Time	Variable		Point	Expression
57.0ms	x	@	0	(* (* (cbrt (pow x -3/4)) (cbrt (pow x -5/4))) 1/3)
35.0ms	x	@	-inf	(* (* (cbrt (pow x -3/4)) (cbrt (pow x -5/4))) 1/3)
14.0ms	x	@	0	(* (cbrt (pow x -3/4)) (cbrt (pow x -5/4)))
11.0ms	x	@	0	(pow x -3/4)
9.0ms	x	@	0	(cbrt (pow x -5/4))

rewrite299.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4112×	`-lowering-.f32`
4112×	`-lowering-.f64`
2532×	`/-lowering-/.f32`
2532×	`/-lowering-/.f64`
2182×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	153
1	215	139
2	1747	137
0	8769	136

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 610

Calls

Call 1

Inputs
(/ 2/3 (* x (+ (/ 1 (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x)))))) (cbrt (/ 1 x)))))
(* x (+ (/ 1 (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x)))))) (cbrt (/ 1 x))))
(+ (/ 1 (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x)))))) (cbrt (/ 1 x)))
(/ 1 (cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x))))))
(/ 1/3 (pow x 2/3))
(pow x 2/3)
(/ (/ 1/3 (cbrt x)) (cbrt x))
(/ 1/3 (cbrt x))
(cbrt x)
(/ 2/3 (+ (cbrt (* x (+ 2 x))) (cbrt (* x x))))
(+ (cbrt (* x (+ 2 x))) (cbrt (* x x)))
(cbrt (* x (+ 2 x)))
(* x (+ 2 x))
(* (* (cbrt (pow x -3/4)) (cbrt (pow x -5/4))) 1/3)
(* (cbrt (pow x -3/4)) (cbrt (pow x -5/4)))
(cbrt (pow x -3/4))
(pow x -3/4)
(cbrt (/ 1 x))
(/ 2 (* x x))
(cbrt (/ 1 (+ (/ 1 x) (/ 2 (* x x)))))
(cbrt (* x x))
(cbrt (pow x -5/4))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2/3 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (.f64 x (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x)))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (.f64 x (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x))))
(/.f64 #s(literal 2/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (.f64 x (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 x #s(literal 2/3 binary64)))))
(/.f64 #s(literal -2/3 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (.f64 x (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) x)) (neg.f64 (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64)))) x)
(pow.f64 (.f64 (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 2/3 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (.f64 x (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (.f64 x (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2/3 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (.f64 x (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (.f64 x (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x)))) #s(literal 2/3 binary64))
(.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 2/3 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) x)))) (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))) (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))))
(.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64)))) (-.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))))
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (.f64 x (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x)))
(+.f64 (.f64 x (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x)) (pow.f64 x #s(literal 2/3 binary64)))
(fma.f64 x (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal 2/3 binary64)))
(fma.f64 x (pow.f64 x #s(literal -1/3 binary64)) (.f64 x (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x)))
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x)) (pow.f64 x #s(literal 2/3 binary64)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) x (pow.f64 x #s(literal 2/3 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/3 binary64)) x (.f64 x (/.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) x)))
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(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal -1/2 binary64))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 2 binary64))))) x)
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (cbrt.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1/3 binary64)) (.f64 (log.f64 x) #s(literal 1/3 binary64))))
(cbrt.f64 (*.f64 x x))
(/.f64 x (cbrt.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) x) (cbrt.f64 x))
(pow.f64 x #s(literal 2/3 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 x))
(*.f64 x (pow.f64 x #s(literal -1/3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) x)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))
(exp.f64 (.f64 (.f64 #s(literal -5/4 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5/12 binary64)))
(cbrt.f64 (pow.f64 x #s(literal -5/4 binary64)))
(pow.f64 x #s(literal -5/12 binary64))
(pow.f64 (*.f64 x x) #s(literal -5/24 binary64))
(pow.f64 (pow.f64 x #s(literal -5/4 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -5/8 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal -5/24 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -5/4 binary64))) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal -5/12 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -5/12 binary64)))
(*.f64 (pow.f64 x #s(literal -5/24 binary64)) (pow.f64 x #s(literal -5/24 binary64)))

simplify248.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

5590×	`-lowering-.f32`
5590×	`-lowering-.f64`
1664×	`times-frac`
1536×	`/-lowering-/.f32`
1536×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	2521
1	456	2249
2	1413	2219
3	4529	2214
0	8239	2214

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(* 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)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (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))))
(* 1/3 (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)))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/ -2/3 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(/ -2/3 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(/ -2/3 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(/ -2/3 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(* -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(* -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (* (cbrt (/ 1 x)) (cbrt -1)))))
(cbrt (+ (* 2 x) (pow x 2)))
(cbrt (+ (* 2 x) (pow x 2)))
(cbrt (+ (* 2 x) (pow x 2)))
(cbrt (+ (* 2 x) (pow x 2)))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(* 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 (* (pow -1 1/6) (cbrt (/ 1 (pow x 2)))))
(* 1/3 (* (pow -1 1/6) (cbrt (/ 1 (pow x 2)))))
(* 1/3 (* (pow -1 1/6) (cbrt (/ 1 (pow x 2)))))
(* 1/3 (* (pow -1 1/6) (cbrt (/ 1 (pow x 2)))))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(cbrt (/ 1 (pow x 2)))
(* (pow -1 1/6) (cbrt (/ 1 (pow x 2))))
(* (pow -1 1/6) (cbrt (/ 1 (pow x 2))))
(* (pow -1 1/6) (cbrt (/ 1 (pow x 2))))
(* (pow -1 1/6) (cbrt (/ 1 (pow x 2))))
(pow (/ 1 x) 1/4)
(pow (/ 1 x) 1/4)
(pow (/ 1 x) 1/4)
(pow (/ 1 x) 1/4)
(pow (/ 1 x) 1/4)
(pow (/ 1 x) 1/4)
(pow (/ 1 x) 1/4)
(pow (/ 1 x) 1/4)
(* (pow (/ 1 x) 1/4) (cbrt -1))
(* (pow (/ 1 x) 1/4) (cbrt -1))
(* (pow (/ 1 x) 1/4) (cbrt -1))
(* (pow (/ 1 x) 1/4) (cbrt -1))
(pow (/ 1 (pow x 3)) 1/4)
(pow (/ 1 (pow x 3)) 1/4)
(pow (/ 1 (pow x 3)) 1/4)
(pow (/ 1 (pow x 3)) 1/4)
(pow (/ 1 (pow x 3)) 1/4)
(pow (/ 1 (pow x 3)) 1/4)
(pow (/ 1 (pow x 3)) 1/4)
(pow (/ 1 (pow x 3)) 1/4)
(exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 x))))))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(cbrt (/ 1 x))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(* (cbrt (pow x 2)) (cbrt 1/2))
(+ (* -1/12 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt 1/2) 2)))) (* (cbrt (pow x 2)) (cbrt 1/2)))
(+ (* (cbrt (pow x 2)) (cbrt 1/2)) (* (pow x 3) (+ (* -1/12 (* (cbrt (/ 1 (pow x 4))) (/ 1 (pow (cbrt 1/2) 2)))) (* 1/24 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt 1/2) 2)))))))
(+ (* (cbrt (pow x 2)) (cbrt 1/2)) (* (pow x 3) (+ (* -1/12 (* (cbrt (/ 1 (pow x 4))) (/ 1 (pow (cbrt 1/2) 2)))) (* x (+ (* -1/48 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt 1/2) 2)))) (* 1/24 (* (cbrt (/ 1 (pow x 4))) (/ 1 (pow (cbrt 1/2) 2)))))))))
(cbrt x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* -2/3 (cbrt (/ 1 (pow x 5))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -2/3 (cbrt (/ 1 (pow x 5)))) (* 4/3 (cbrt (/ 1 (pow x 8)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -8/3 (cbrt (/ 1 (pow x 11)))) (+ (* -2/3 (cbrt (/ 1 (pow x 5)))) (* 4/3 (cbrt (/ 1 (pow x 8))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(* -1 (* x (+ (* 2/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2)))) (* 4/3 (* (cbrt x) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2)))) (* 8/3 (* (cbrt x) (/ 1 (pow (cbrt -1) 2))))) x)) (* -2/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(cbrt (pow x 2))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(pow (/ 1 (pow x 5)) 1/12)
(pow (/ 1 (pow x 5)) 1/12)
(pow (/ 1 (pow x 5)) 1/12)
(pow (/ 1 (pow x 5)) 1/12)
(pow (/ 1 (pow x 5)) 1/12)
(pow (/ 1 (pow x 5)) 1/12)
(pow (/ 1 (pow x 5)) 1/12)
(pow (/ 1 (pow x 5)) 1/12)
(exp (* 1/12 (+ (log -1) (* 5 (log (/ -1 x))))))
(exp (* 1/12 (+ (log -1) (* 5 (log (/ -1 x))))))
(exp (* 1/12 (+ (log -1) (* 5 (log (/ -1 x))))))
(exp (* 1/12 (+ (log -1) (* 5 (log (/ -1 x))))))

Outputs
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/ 2/3 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x)))
(+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2)))
(+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x)))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))))
(.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))) x)
(/ (+ (cbrt (+ (* 2 x) (pow x 2))) (cbrt (pow x 2))) x)
(/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))) x)
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (cbrt (/ 1 x)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))
(+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)
(* (/ 1 x) (cbrt (+ (* 2 x) (pow x 2))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) x)
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 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))))
(* 1/3 (cbrt (/ 1 (pow x 2))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64))))
(* 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))))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (cbrt (/ 1 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(cbrt x)
(cbrt.f64 x)
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
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(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/12 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt 1/2) 2)))) (* (cbrt (pow x 2)) (cbrt 1/2)))
(+.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/12 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(+ (* (cbrt (pow x 2)) (cbrt 1/2)) (* (pow x 3) (+ (* -1/12 (* (cbrt (/ 1 (pow x 4))) (/ 1 (pow (cbrt 1/2) 2)))) (* 1/24 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt 1/2) 2)))))))
(+.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 (.f64 #s(literal -1/12 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(+ (* (cbrt (pow x 2)) (cbrt 1/2)) (* (pow x 3) (+ (* -1/12 (* (cbrt (/ 1 (pow x 4))) (/ 1 (pow (cbrt 1/2) 2)))) (* x (+ (* -1/48 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt 1/2) 2)))) (* 1/24 (* (cbrt (/ 1 (pow x 4))) (/ 1 (pow (cbrt 1/2) 2)))))))))
(+.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (.f64 (.f64 x #s(literal -1/48 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/12 binary64))))))
(cbrt x)
(cbrt.f64 x)
(* x (+ (cbrt (/ 1 (pow x 2))) (* -2/3 (cbrt (/ 1 (pow x 5))))))
(.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 #s(literal -2/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -2/3 (cbrt (/ 1 (pow x 5)))) (* 4/3 (cbrt (/ 1 (pow x 8)))))))
(.f64 x (+.f64 (.f64 #s(literal -2/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 4/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))))
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -8/3 (cbrt (/ 1 (pow x 11)))) (+ (* -2/3 (cbrt (/ 1 (pow x 5)))) (* 4/3 (cbrt (/ 1 (pow x 8))))))))
(.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 #s(literal -2/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 4/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (*.f64 #s(literal -8/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))))))))
(* -1 (* (cbrt x) (cbrt -1)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(* -1 (* x (+ (* 2/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(.f64 x (-.f64 (/.f64 (.f64 #s(literal -2/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2)))) (* 4/3 (* (cbrt x) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal 4/3 binary64)) (.f64 #s(literal -2/3 binary64) (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (/ (+ (* -4/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2)))) (* 8/3 (* (cbrt x) (/ 1 (pow (cbrt -1) 2))))) x)) (* -2/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -2/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal -4/3 binary64)) (.f64 (cbrt.f64 x) #s(literal 8/3 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)) (.f64 x x))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (cbrt.f64 #s(literal -1 binary64)))))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(cbrt (pow x 2))
(cbrt.f64 (*.f64 x x))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64))))
(* -1 (* (cbrt (pow x 2)) (cbrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 #s(literal -1 binary64))))
(pow (/ 1 (pow x 5)) 1/12)
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/12 binary64))
(pow (/ 1 (pow x 5)) 1/12)
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/12 binary64))
(pow (/ 1 (pow x 5)) 1/12)
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/12 binary64))
(pow (/ 1 (pow x 5)) 1/12)
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/12 binary64))
(pow (/ 1 (pow x 5)) 1/12)
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/12 binary64))
(pow (/ 1 (pow x 5)) 1/12)
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/12 binary64))
(pow (/ 1 (pow x 5)) 1/12)
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/12 binary64))
(pow (/ 1 (pow x 5)) 1/12)
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/12 binary64))
(exp (* 1/12 (+ (log -1) (* 5 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5 binary64))) #s(literal 1/12 binary64))
(exp (* 1/12 (+ (log -1) (* 5 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5 binary64))) #s(literal 1/12 binary64))
(exp (* 1/12 (+ (log -1) (* 5 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5 binary64))) #s(literal 1/12 binary64))
(exp (* 1/12 (+ (log -1) (* 5 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5 binary64))) #s(literal 1/12 binary64))

eval138.0ms (1.3%)

Compiler: Compiled 17100 to 2538 computations (85.2% saved)

prune142.0ms (1.4%)

Pruning

47 alts after pruning (38 fresh and 9 done)

	Pruned	Kept	Total
New	881	22	903
Fresh	18	16	34
Picked	1	4	5
Done	1	5	6
Total	901	47	948

Accuracy

99.9%

Counts

948 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
	49.3%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))))
	97.5%	(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	95.5%	(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
	10.0%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
	7.6%	(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 x (.f64 x x)))) (.f64 x x))
	21.9%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)))) (.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 x x))
	21.5%	(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x))
	10.0%	(/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))))
	95.5%	(/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	8.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
	48.7%	(/.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))))
	51.5%	(/.f64 #s(literal 2/3 binary64) (+.f64 (.f64 x (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (cbrt.f64 (*.f64 x x))))
	51.5%	(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (/.f64 x (cbrt.f64 x))))
	49.3%	(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x)))
	30.5%	(/.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (+.f64 (cbrt.f64 (.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) x)) x) (pow.f64 x #s(literal 4/3 binary64)))))
	51.4%	(/.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x))) x)))
	97.3%	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))))))
	92.5%	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64))))))
✓	97.6%	(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	96.2%	(/.f64 #s(literal 2/3 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	95.5%	(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
✓	87.9%	(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
	96.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
	89.3%	(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) x))
	50.0%	(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))
	5.8%	(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/3 binary64)) (cbrt.f64 x))
	5.8%	(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
	9.0%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
✓	8.1%	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
✓	1.8%	(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
	89.3%	(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/12 binary64))))
	89.3%	(.f64 (pow.f64 x #s(literal -5/12 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
✓	87.9%	(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
	59.8%	(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -7/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1/3 binary64))
	50.0%	(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
	63.7%	(.f64 (.f64 (pow.f64 x #s(literal -1/8 binary64)) (cbrt.f64 (pow.f64 x #s(literal -13/8 binary64)))) #s(literal 1/3 binary64))
	80.7%	(.f64 (.f64 (pow.f64 x #s(literal -1/4 binary64)) (cbrt.f64 (pow.f64 x #s(literal -5/4 binary64)))) #s(literal 1/3 binary64))
✓	80.3%	(.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5/4 binary64)))) #s(literal 1/3 binary64))
	95.0%	(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal -2 binary64)))
✓	95.5%	(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
	95.5%	(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
	95.4%	(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
	95.5%	(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
	51.1%	(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
✓	49.9%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
	51.1%	(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 2256 to 904 computations (59.9% saved)

regimes53.0ms (0.5%)

Counts

97 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.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) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) x))
(/.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) (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 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) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (*.f64 x x)) 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)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (pow.f64 x #s(literal -5/12 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/12 binary64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/3 binary64)) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 2/3 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (/.f64 x (cbrt.f64 x))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x)))
(-.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (cbrt.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x))) x)))
(/.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (+.f64 (cbrt.f64 (.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) x)) x) (pow.f64 x #s(literal 4/3 binary64)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (.f64 x (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (pow.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))))
(.f64 (.f64 (pow.f64 x #s(literal -1/4 binary64)) (cbrt.f64 (pow.f64 x #s(literal -5/4 binary64)))) #s(literal 1/3 binary64))
(.f64 (.f64 (pow.f64 x #s(literal -1/8 binary64)) (cbrt.f64 (pow.f64 x #s(literal -13/8 binary64)))) #s(literal 1/3 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))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (exp.f64 (*.f64 #s(literal -1/3 binary64) (log.f64 x))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64))))))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (cbrt.f64 (+.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 #s(literal 0 binary64) x)))))))
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5/4 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -7/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1/3 binary64))
(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (cbrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 1/3 binary64))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (cbrt.f64 #s(literal -1 binary64)))) (.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 x (.f64 x x)))
(.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal -2 binary64)))
(.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 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.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))
(/.f64 (+.f64 (+.f64 (.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 5/81 binary64)))) (.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)))))
(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)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (-.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)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))) (.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))) x)) (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (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))
(/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 x (.f64 x x)))) (.f64 x x))

Outputs

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

Calls

2 calls:

25.0ms	x
21.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes31.0ms (0.3%)

Counts

52 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.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) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) x))
(/.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) (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 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) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (*.f64 x x)) 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)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (pow.f64 x #s(literal -5/12 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/12 binary64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/3 binary64)) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 2/3 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (/.f64 x (cbrt.f64 x))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x)))
(-.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (cbrt.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x))) x)))
(/.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (+.f64 (cbrt.f64 (.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) x)) x) (pow.f64 x #s(literal 4/3 binary64)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (.f64 x (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (pow.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 2/3 binary64) x))

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

Calls

2 calls:

14.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
14.0ms	x

Results

Accuracy	Segments	Branch
97.6%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
97.6%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes41.0ms (0.4%)

Counts

48 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.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) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) x))
(/.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) (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 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) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (*.f64 x x)) 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)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (pow.f64 x #s(literal -5/12 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/12 binary64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/3 binary64)) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 2/3 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (/.f64 x (cbrt.f64 x))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x)))
(-.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (cbrt.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x))) x)))
(/.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (+.f64 (cbrt.f64 (.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) x)) x) (pow.f64 x #s(literal 4/3 binary64)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))

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

Calls

2 calls:

13.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
13.0ms	x

Results

Accuracy	Segments	Branch
97.5%	1	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
97.5%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes28.0ms (0.3%)

Counts

47 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.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) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) x))
(/.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) (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 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) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (*.f64 x x)) 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)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (pow.f64 x #s(literal -5/12 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/12 binary64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/3 binary64)) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 2/3 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (/.f64 x (cbrt.f64 x))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x)))
(-.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (cbrt.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (+.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) x) (pow.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (*.f64 x x))) x)))
(/.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (+.f64 (cbrt.f64 (.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) x)) x) (pow.f64 x #s(literal 4/3 binary64)))))

Outputs

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

(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))

Calls

2 calls:

13.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
12.0ms	x

Results

Accuracy	Segments	Branch
97.9%	2	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
97.9%	2	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes35.0ms (0.3%)

Counts

41 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.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) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) x))
(/.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) (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 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) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (*.f64 x x)) 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)))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (pow.f64 x #s(literal -5/12 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/12 binary64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/3 binary64)) (cbrt.f64 x))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 2/3 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 x x))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) x))) (/.f64 x (cbrt.f64 x))))
(/.f64 #s(literal 2/3 binary64) (+.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 2 binary64) x))) (.f64 (pow.f64 x #s(literal -1/3 binary64)) x)))

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

Calls

2 calls:

24.0ms	x
9.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))

Results

Accuracy	Segments	Branch
97.8%	2	`(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))`
97.8%	2	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.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) (cbrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) x))
(/.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) (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 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) (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (*.f64 x x)) 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)))

Outputs
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
96.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
91.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
87.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
87.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
1.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1938376.2773906896	97899278.36170936

Results

16.0ms

112×

valid

Compiler

Compiled 187 to 128 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cbrt: 6.0ms (57% of total)

backward-pass: 2.0ms (19% of total)

ival-sub: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

const: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1938376.2773906896	97899278.36170936

Results

13.0ms

112×

valid

Compiler

Compiled 131 to 100 computations (23.7% saved)

Precisions

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

ival-cbrt: 3.0ms (42.5% of total)

backward-pass: 2.0ms (28.4% of total)

ival-sub: 1.0ms (14.2% of total)

ival-add: 1.0ms (14.2% of total)

const: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.7728592078506747e+152	1.700426152733837e+154

Results

13.0ms

112×

valid

Compiler

Compiled 117 to 93 computations (20.5% saved)

Precisions

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

ival-cbrt: 3.0ms (39.6% of total)

backward-pass: 2.0ms (26.4% of total)

ival-add: 1.0ms (13.2% of total)

ival-sub: 1.0ms (13.2% of total)

const: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
16×	`*-commutative_binary64`
16×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	138
1	76	138
2	89	138
3	95	138
4	98	138

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal 48000000 binary64)) (-.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x))))
(if (<=.f64 x #s(literal 39000000 binary64)) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x))))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))

Outputs
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 2/3 binary64) (.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))))))
(if (<=.f64 x #s(literal 48000000 binary64)) (-.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x))))
(if (<=.f64 x #s(literal 39000000 binary64)) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x))))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))
(-.f64 #s(literal 1 binary64) (cbrt.f64 x))

soundness2.0s (18.6%)

Rules

4936×	`-lowering-.f32`
4936×	`-lowering-.f64`
4112×	`-lowering-.f32`
4112×	`-lowering-.f64`
3426×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	39	16
2	291	16
3	3387	16
0	8991	16
0	33	101
1	214	89
2	1606	88
0	8728	86
0	34	133
1	179	117
2	1392	109
0	8440	105
0	602	4149
1	1865	3645
2	6166	3605
0	8466	3605
0	35	153
1	215	139
2	1747	137
0	8769	136
0	146	551
1	378	495
2	1081	488
3	3258	483
0	8146	483

Stop Event

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

Compiler

Compiled 389 to 238 computations (38.8% saved)

preprocess83.0ms (0.8%)

Compiler: Compiled 346 to 140 computations (59.5% saved)

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	22	18
4	32	18
5	64	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	22	18
4	32	18
5	64	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18

analyze3.0ms (0%)

sample2.0s (19%)

preprocess42.0ms (0.4%)

explain142.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize66.0ms (0.6%)

series12.0ms (0.1%)

rewrite229.0ms (2.2%)

simplify200.0ms (1.9%)

eval39.0ms (0.4%)

prune68.0ms (0.6%)

simplify127.0ms (1.2%)

localize1.3s (12.6%)

series37.0ms (0.3%)

rewrite366.0ms (3.5%)

simplify330.0ms (3.1%)

eval510.0ms (4.8%)

prune188.0ms (1.8%)

simplify168.0ms (1.6%)

localize252.0ms (2.4%)

series26.0ms (0.2%)

rewrite301.0ms (2.9%)

simplify191.0ms (1.8%)

eval177.0ms (1.7%)

prune149.0ms (1.4%)

simplify11.0ms (0.1%)

localize205.0ms (1.9%)

series187.0ms (1.8%)

rewrite299.0ms (2.8%)

simplify248.0ms (2.4%)

eval138.0ms (1.3%)

prune142.0ms (1.4%)

regimes53.0ms (0.5%)

regimes31.0ms (0.3%)

regimes41.0ms (0.4%)

regimes28.0ms (0.3%)

regimes35.0ms (0.3%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch22.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch19.0ms (0.2%)

simplify14.0ms (0.1%)

soundness2.0s (18.6%)

preprocess83.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	22	18
4	32	18
5	64	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18